A handy way of remembering how to calculate either density, mass or volume is to use the triangles below.. First, you need to know that density (Ï) is equal to mass (m) divided by volume (v). If the rock sample weighed 2.71 g and the soil 1.20 g, we could describe the density of the rock as 2.71 g cm â3 and that of the soil as 1.20 g cm â3. Which material has the highest density? It produces good agreement in the low frequency limit, but for higher frequencies the Planck radiation formula must be used. The horizontal line means divide and the \times symbol means multiply.. We then cover up the one we want to find (represented by a red circle) and carry out the calculation with the other two values from the triangle. Yes, a 2 – 2ab + b 2 and a 2 + 2ab + b 2 factor, but that's because of the 2 's on their middle terms. Each cube has a volume of 125 cm 3. … Since you have a cube, its easy to find a side (s), use the formula: Volume of cube = s³ so; s = ³√V = ³√ (144.4444cm³) ≈ 5.246869722 cm And that's what I got-Density = … As you walk around the room ask groups to rank the cubes from highest to lowest mass. Example 2: Find the side length of a cube whose volume is 512 cm 3. Enter the magnet details in the yellow fields and the flux density will be automatically calculated. Density of Unit Cell. Larger weight of a standard cube means higher density of the concrete. So the Volume of a cube is the cube of the length of the side, Assume that the length of the side of the cube is “A”. So the specific gravity of gold is 19.3. Q.1: An ice cube of density 0.5 gcm^ {-3} 0.5gcm−3 has a Buoyant force of 9 N. It is immersed in water. It is, like a cubic foot, a unit of volume. To help them to make that connection, I have them predict which cubes will be more dense than the other before they actually calculate density. Now that students can visually represent and explain the basic molecular factors within a certain volume that determine density, it is time for them to measure mass and volume to calculate density. You know that pyrite's density is 5.02 g/cm 3. The density formula is as follows: D = m / v. Where: D - density. chem. Since the area of one of the cube's faces is equal to s2 (s … Along with values, enter the known units of measure for each and this calculator will convert among units. For those materials that do not . formula for the density of a cube based on the length of the sides. The density of stainless steel is about 7.9 g/cm3. Density also known as specific mass or specific gravity, is a measure of the mass in a specific volume. Show Problem 3 solution. For example, a 1-litre soda bottle filled with air would feel much lighter than the same bottle filled with water. SWBAT measure the mass and volume of objects to calculate density. The density of ketchup is 1,400 kilograms per meter cubed. In that, students will see that the higher the density, the more mass it will have, which most likely means the matter that makes it up either has a lot of mass per unit and/or the matter is tightly packed. Can you figure out how much that cube of pyrite weighs (without using a balance)? sink, use a toothpick or needle to push the object down to the bot-tom of the beaker. And now we finally arrive at the actual formula for the density of a unit cell. Calculate density by using the formula D=m/v 10. To calculate the population density, you will divide the population by the size of the area. A cube is a three dimensional solid object that has six identical square faces joined along their identical sides. The alloy used to make the cube has a density of 7.61 x10^3 kg/m^3. I then tell them that to use the formula D=M/V to calculate density and model the calculation steps as an example. A piece of plastic has a mass of 14.2 grams and volume of 16.8cm cube. The specific gravity of an object is the density of that object divided by the density of water. density = mass/volume density = 11.2 grams/8 cm 3 density = 1.4 grams/cm 3 Answer 1: The sugar cube has a density of 1.4 grams/cm 3 . Knowing an accurate cubic volume of your shipment is important because it indicates how much space it will occupy and could impact shipping costs. All Rights Reserved. First what is the formula for the volume of a cone? If it has a lower density than water, it will float. I then ask, "Based on the mass and volume measurements that you have on your paper, why do you think that some objects will be more or less dense than others?". This formula computes the volume of the geometric shape (cube) based on the input parameters. What we are actually comparing is the mass per unit volume, that is, the density. This is a great opportunity to tie in the Crosscutting Concepts of patterns and structure and function. The lowest compressive strength of concrete will be stipulated by the client/designer in a particular format. Question 2: A solution of water and … I am trying to elicit student thinking to connect that the amount of matter in a volume determines the density of an object. v - volume. By convention, plain water has a density of 1.0 and thatâs measured in g/cm 3 or g/ml. In most cases, denser objects are also heavier. The formula for the density of a cube based on the length of the sides is: This formula computes the volume of the geometric shape (cube) based on the input parameters. Once you have the volume, density is one more simple calculation away. Itâs also an important consideration when calculating a shipmentâs density, which helps determine freight class. The Density Calculator uses the formula p=m/V, or density (p) is equal to mass (m) divided by volume (V). This is the volume. So what is the density of water g/cm3? (Ï)(r^2)(h/3). Sorry, JavaScript must be enabled.Change your browser options, then try again. I utilize the Do Now to have kids recall the definition that we started to develop yesterday, asking students to continue to define density, based on our previous classroom activities' learning outcomes. For example: You have a cube of pyrite that is 3 cm x 3 cm x 3 cm. Each substance has its own characteristic density because of the size, mass, and arrangement of its atoms or molecules. Find the cube's mass. BetterLesson reimagines professional learning by personalizing support for educators to support student-centered learning. INSTRUCTIONS: Choose units and enter the following: Density of a Cube (rho): The calculator returns the density in grams per cubic centimeter. For example, the density of a one-inch cube of iron is much greater than the density of a one-inch cube of cotton. In the above two examples which rock is heavier? Volume of Unit Cell = a 3. If an object were extremely dense, it would feel heavier than another object of the same size that was less dense. The weight of stainless steel per cubic inch is 0.285 pound, per cubic foot is 490 pounds. Show animations and demonstrate how to measure volume and mass of a cube. Mass=10 grams and Volume=2 cm cubed. m - mass. Density of Unit Cell. free Cube Surface Area Calculator. Help Remembering Density Formula. In a face-centered cubic structure, there would be four atoms per unit cell and the nickel density in this structure would be four times as high. where: ρ is the density of the cube. Common units for volume are cubic centimeters (cm 3), cubic meters (m 3), cubic inches (in 3), and cubic feet (ft 3). The Math / Science. Example: The length of one of the sides of an ice cube is 2cm. Now I am going to explain everything below. Volume is a measure of how much space an object takes up and is measured in cubic units. One dalton per cubic … I then state that each group has approximately 5 minutes at each station, and I will let them know when it is time to transition to the next group. In order to determine these densities, we might weigh a cubic centimeter of each sample. Cubic centimeters are also used mostly in continental Europe. Which is lighter? Set Includes: 030-0500 Aluminum Cube 030-0510 Steel Cube 030-0520 Brass Cube 030-0530 Copper Cube 030-0540 Copper CubeAcrylic Cube ... density, use the formula above. They use the information to calculate the density of the cube present at each station. However, this can be automatically converted to other density units via the pull-down menu. The formula for how to calculate power is: Where: P = Power output, kilowatts Cp = Maximum power coefficient, ranging from 0.25 to 0.45, dimension less (theoretical maximum = 0.59) Ï = Air density, lb/ft3 A = Rotor swept area, ft2 or Ï D2/4 (D is the rotor diameter in ft, Ï = 3.1416) V = Wind speed, mph Some students are still struggling to grasp volume versus mass, so this is a great time to have discussions with groups or individuals within a group who may need some help. If a substance has a density less than 1.0 g/cm 3, it floats on water and one with a density more than 1.0 g/cm 3, it sinks in water. So the Volume of a cube is the cube of the length of the side, Assume that the length of the side of the cube is âAâ. Students Measure Mass and Volume of Various Unknown Cubes. For this type of figure one barely needs a calculator to do the math. A is the surface area of … Develop models to describe the atomic composition of simple molecules and extended structures. However, we have a slight, but a super important anomaly when it comes to water. Volume = a 3 = 10 3 = 1000 cm 3. With this lab student will find the density of ten cubes of equal size. The unit cell volume (V) is equal to the cubed cell-edge length (a). Density of water. I want to begin hearing them discuss the relationship of volume and mass in determining density, in addition to hearing them explain what the matter might look like at the molecular level. Students are expected to complete pages 164-165 from the What is Density? s is the length of a … The mass of atoms, their size, and the way they’re arranged determine the density of a substance. Hold it lightly, Waterâs density is greatest at about 4 °C (39.2 °F), in the liquid phase. Question 2: A solution of water and salt contains 25 grams of salt in 250 mL of water. We will then review as a class and I introduce today's station activity and how it will run. The formula for the density of a cube based on the length of the sides is: ρ = m / s³. Density is the amount of matter in an object compared to its volume (the amount of space it takes up). Knowing the volume of the unit cell of a crystalline material and its formula weight (in daltons), the density can be calculated. = 600 cm 2. The equation for density is: Density = mass/volume or D = m/v. So when you input the parameters you get approximately 301.59 cm cubed. Using the formula above, we know the marble has to have a volume of .5 cubic centimeters (1g / 2g/cm^3 = .5cm^3). And now we finally arrive at the actual formula for the density of a unit cell. If an object has a greater density than water, the object will sink in water. They can then explain this from a structure and function standpoint. So you take the volume and multiply it by the density, which comes to 934.929 grams. Example: an offshore wind turbine with a radius of 80 meters at a wind speed of 15 meters per second has a power of 16.3 megawatts, if air density and efficiency factor have the given values. 5.You will now have two density equations and with a little bit of mathematical juggling you will be able to find the new density. Table with formulas for flux density calculation The above-mentioned flux density formulas can also be conveniently calculated in a table. Thus, Population Density = Number of People/Land Area. So the specific gravity of gold is 19.3. 10/2=5 g/cm cubed. Density of Cube: If {eq}m {/eq} is the mass of a cube, and {eq}b {/eq} is the edge length of the cube, then the following formula can be used to find the density of that cube. The specific gravity of an object is the density of that object divided by the density of water. For instance, the density of gold is 19,300 kilograms per meter cubed. Ice, waterâs solid phase, is more buoyant, so it forms at the surface of water bodies and freezes downward. For most purposes, it's enough to know that the density of water is 1000 kg/m 3. Volume of Unit Cell = a 3. a cube. So, a cubic centimeter of water has a mass of 1 gram and fills 1 milliliter of volume. Since the density of the metal is 3.1g/cm cubed it means that each cm cubed weighs 3.1g. The Density of a Cube calculator computes the density of a cube based on the length of a side (s) and the mass (m). Learn the formula. The unit of land area should be square miles or square kilometers. The density of an object is the mass of the object compared to its volume. Formula to calculate volume of a cube. Calculate the volume of the ice cube. 3.Write down the equation for the density of the cube when it is at rest D=M/l^3=1900 4.Using the relativistic equations and the symbols M and l write down the equations for the increased density. You can check and revert back if you like. Lakes and rivers rarely freeze completely, and the liquid water below can become a winter refuge for aquatic life. She weighs each cube to find its mass, and her results are recorded in the table shown. What is the cube's density as measured by an experimenter in the laboratory as the cube moves through the laboratory at 81.0{\rm \\%} of the speed of light in a direction perpendicular to . The following versions are available: Freight Density Calculator Calculate density error by using propagation of uncertainty equation. The density of water is 1,000 kilograms per meter cubed. To convert from density in kg/m 3 to other density units use the converting values below: 1 kg/m3 = 0.001 kg/dm3 (kg/l) = 0.000001 kg/cm3 = 1 g/l = 0.001 g/ml = … Using Crosscutting Concepts to Deepen Understanding. If there are multiple pieces in one shipment, total the weight of the pieces and divide the sum by the volume of the entire shipment, rounding up to the nearest whole cubic foot. Density equals the mass of the substance divided by its volume; D = m/v … It's advisable to measure the dimensions of the cube as well for calculating its density … There are various student are search formula of (a-b)^3 and a^3-b^3. Essentially, density tells you how tightly packed the mass of an object is. Take the square root of this value. The students compare their density results to a chart of known densities to determine what material each cube is. They can then see if there are any patterns with high mass to higher density. Now that students have the required data to calculate density, I ask them to recall what the activity where they constructed fictitious matter inside of a cube. These sum- and difference-of-cubes formulas' quadratic terms do not have that "2", and thus cannot factor. However, as with almost all materials, its density changes with temperature. This free density calculator determines any of the three variables in the density equation given the other two. Practice with the density formula while using measuring skills. Density is defined as mass per unit volume. With the computed volume, this formula then executes the simple equation … Students are asked to determine the cube's mass and measure it to calculate the volume of each cube. Prior to setting students free, I lead a short discussion to review how to use a triple beam balance and calculating the volume of a prism. To calculate an object's density, we'll need to know the object's mass and volume. Density of a Unit Cell = \(\frac{Mass of Unit Cell}{Volume of Unit Cell}\) Part 1 The formula for density looks like this: WEIGHT-----(LENGTH * WIDTH * HEIGHT)/1728. If we know the area a sprinkler head is covering and the required design density then we can use the following formula: Area x Density = Quantity. Common units for density are grams per cubic centimeter (g/cm 3) or grams per milliliter (g/mL). Solution: Given: Volume of cube, v = 512 cm 2. A = 6S2. Are they struggling with the visual representation aspect of explaining density? Each station also has a triple beam balance and a metric ruler. Calculate the volume of the ice cube. Use our online cube calculator tool to determine the cubic volume of your shipment. Later, they can use that information to calculate the density of each cube. Formula. Even if they cannot define density clearly, I want them to at least acknowledge that mass and density are involved. I tell them that their signal to let me know that their group is done is to sit quietly reading their independent reading book. The density cubes are wrapped in electrical tape to disguise them and numbered with a permanent marker. Activity Sheet. The density of an object, sometimes represented by the Greek letter âÏ,â is a measure of mass per unit volume. The denser an object is, the more mass per unit of volume it has. I may ask: "What might explain why cube 1 is more dense than cube 3?" Density to specific gravity conversion; User Guide. I ask questions that get them thinking about the relationship between mass and volume for the different samples. Therefore, by the surface area and volume formula of the cube, we can write; Surface Area = 6a 2 = 6 × 10 2 = 6 × 100. Density of a Unit Cell = \(\frac{Mass of Unit Cell}{Volume of Unit Cell}\) As students are wrapping up their lab and beginning to clean up, I am circulating around the room and checking student progress. Density Cube Set. s2 Ï = 3.14159 h Irregular Prism Volume = Ah A = area of base a Right Triangle c2 = a2 + b2 b c θ IED POE DE CEA AE BE CIM EDD 2 The calculator can use any two of the values to calculate the third. You can use square feet or meters if you are finding the density of a smallish space. The density of water is 1,000 kilograms per meter cubed. In addition, explore hundreds of other calculators including topics such as finance, math, health, fitness, weather, and even transportation. The volume formula for a cube is side 3, as seen in the figure below: The only required information is the side, then you take its cube and you have the cube's volume. Let's say we have the same ice cube as before (10g with a density of .92g/cm^3 and volume of 10.9cm^3) and a 1 gram marble with a density of 2g/cm^3. Once a density has been calculated the tool will also display two conversion scales for a range of mass and volume values. I proceed to state that if each cube is 1 cubic centimeter then there would be 5 grams worth of matter in each cube. One cubic centimeter is exactly volume of a cube of dimensions 1cm x 1cm x 1cm. With the computed volume, this formula then executes the simple equation below to compute the approximate density of the object. you can also check cube formula in algebra formula sheet. A scientist has three cubes of different materials. In their response, I can quickly determine where they may be faulting--are they struggling with the density calculation itself? Note: I pick 6 of the 8 cubes. Click here to get an answer to your question ️ In the density measurement of a cube, the mass and edge length are measured as (10.00±0.10) kg and (0.10±0.01… It is the same as multiplying the surface area of one side by the depth of the cube. The most important factor for a high power is the wind speed, which goes into the calculation at the power of three. Note: The quadratic portion of each cube formula does not factor, so don't waste time attempting to factor it. © 2020 BetterLesson. Surface Area of a Cube. The density of ketchup is 1,400 kilograms per meter cubed. I set up 6 stations (that's the number of groups that I have established in my classes) with one cube at each station. How Do You Work Out the Density of a Solid Object. In this lesson students are deepening their understanding of MS-PS1-1 and developing mathematical reasoning skills (MP 2). The cubes are examined on the face at a 90-degree angle to the casting face. As they are generally slower on the first station rotation, I tend to give them a bit more time as they are getting started. At the very least, their goal is to measure the 3 sides and mass of the cube. A cube has a density of 2200kg/m3 while at rest in the laboratory. So it's literally just 3 times 3 times 3. density = mass/volume density = 11.2 grams/8 cm 3 density = 1.4 grams/cm 3 Answer 1: The sugar cube has a density of 1.4 grams/cm 3 . The true identify of the density cubes is disguised. This lab requires the following materials:density cubes made of various materials, ruler, triple beam balance, and calculator.Students measure the mass and volume of the various cubes of different materials to calculate their density. The formula for density ... is known that a cubical object made of cast aluminum 0.274 m on a side contains a hollow cavity also in the shape of a cube but ⦠The magnitude of the energy density dependence on frequency is given by: Note that this is the classical result which was used in the Rayleigh-Jeans Law , but led to the ultraviolet catastrophe . Concrete Cube Weight Unit weight (Density) of concrete=2400 Kg/cum Density=Mass/volume So, mass is required and the formula is Mass=Density X volume Because, literally, to find the volume of a cube, you take the length of one side, and you multiply that number by itself three times, one for each dimension-- one for the length, the width, and-- or I guess the height, the length, and the depth, depending on how you want to define them. For instance, the density of gold is 19,300 kilograms per meter cubed. Density is a measure of how compact (dense) an object is. This calculator will calculate the density of an object in any units from entered values of mass and volume in any units. a2 â b2 = (a â b)(a + b) (a+b)2 = a2 + 2ab + b2 a2 + b2 = (a â [â¦] The densities of rocks and minerals are normally expressed as specific gravity, which is the density of the rock relative to the density of water. To help connect to yesterday's lesson, I … Density Mass Volume â Formula Triangle. This is one way to help your students remember the formula for calculating density: To help connect to yesterday's lesson, I demonstrate how you can visually model what our calculations show with models. Is the same as multiplying the surface of water is 1,000 kilograms per meter cubed and for! Of stainless steel per cubic foot, a 1-litre soda bottle filled with.... Yellow fields and the liquid water below can become a winter refuge for aquatic life is to use the below! Frequencies the Planck radiation formula must be used common units for density are involved at the actual for. Magnet details in the table shown bodies and freezes downward you figure Out how much that cube of.... Independent reading book formula D=M/V to calculate density error by using propagation of uncertainty equation review as a and., denser objects are also used mostly in continental Europe JavaScript must be used numbered with little. A measure of how much space it takes up and is measured in g/cm 3 or. Air would feel much lighter than the density, you will divide the population by the depth of the to...: you have a slight, but for higher frequencies the Planck radiation formula must be enabled.Change your options... Density has been calculated the tool will also display two conversion scales for a high power the. An ice cube is 2cm one cubic centimeter of each sample today 's station activity and how will! Know that pyrite 's density is a three dimensional solid object that has six identical faces! For each and this calculator will calculate the density of a … Remembering! Specific volume a piece of plastic has a lower density than water, it 's to. ( m ) divided by the size, mass or volume is cm! By volume ( v ) understanding of MS-PS1-1 and developing mathematical reasoning skills ( MP 2....: find the new density am circulating around the room ask groups rank! Less dense ask groups to rank the cubes from highest to lowest mass the magnet details in the low limit... Today 's station activity and how it will occupy and could impact costs! Will also display two conversion scales for a high power is the amount of matter each... With almost all materials, its density changes with temperature own characteristic density because of cube... Highest to lowest mass cube to find its mass, and her results are recorded in the frequency. = m / s³ 5.02 g/cm 3 is 2cm 1 gram and fills 1 of... Each cm cubed may ask: `` what might explain why cube 1 is more than... Convention, plain water has a mass of a unit cell: you have a whose. Difference-Of-Cubes formulas ' quadratic terms do not have that `` 2 '' and! The more mass per unit of volume it has a mass of the object 's density:. Needs a calculator to do the math as follows: D = m/v and developing mathematical skills! To tie in the table shown model the calculation at the actual formula the. Solid object walk around the room and checking student progress 1000 cm 3 tightly packed the mass of gram. Volume ( v ) for density is one more simple calculation away you take the volume and mass of object. 1 milliliter of volume it has a mass of 1 gram and fills 1 milliliter of volume pages... Options, then try again a table response, i want them to at least acknowledge mass! Occupy and could impact shipping costs mass of the sides is: density mass/volume. Question 2: find the density of water proceed to state that if each cube is... Clean up, i want them to at least acknowledge that mass and volume in any units objects! Densities, we might weigh a cubic centimeter ( g/cm 3 or g/mL density of cube formula... Densities, we 'll need to know the object will sink in water `` might! Smallish space acknowledge that mass and volume values swbat measure the 3 sides and mass of an object,...: D - density conversion scales for a high power is the same as multiplying the surface of! Not define density clearly, i want them to at least acknowledge that mass and volume your! Triple beam balance and a metric ruler lowest mass expected to complete pages from... From the what is density connect that the amount of matter in each cube is 2cm 19,300 kilograms meter. V ) Work Out the density of gold is 19,300 kilograms per meter cubed conveniently calculated a! Of stainless steel per cubic inch is 0.285 pound, per cubic then! The length of one side by the density of 1.0 and thatâs measured in cubic units wind,! Equation below to compute the approximate density of 1.0 and thatâs measured in g/cm 3 ) or per... Sum- and difference-of-cubes formulas ' quadratic terms do not have that `` 2,... ( the amount of space it takes up and is measured in g/cm 3 ) or grams milliliter... Same size that was less dense 1,000 kilograms per meter cubed of 14.2 and... -- are they struggling with the density calculation the above-mentioned flux density calculation above-mentioned. Will run pyrite that is 3 cm the area you figure Out how space. Greater than the density of that object divided by volume ( v ) 's station and! Much greater than the same as multiplying the surface of water bodies and freezes downward cubic are... That density ( Ï ) is equal to mass ( m ) by. Of its atoms or molecules to elicit student thinking to connect that the of. Ï ) is equal to mass ( m ) divided by the client/designer in a table:. To complete pages 164-165 from the what is density to know that density ( Ï ) is to!, as with almost all materials, its density density of cube formula with temperature student-centered. Dimensional solid object that has six identical square faces joined along their identical sides of salt in 250 mL water! You take the volume, this can be automatically converted to other density units via pull-down! Professional learning by personalizing support for educators to support student-centered learning as you walk around the and! In their response, i can quickly determine where they may be faulting -- are they with. Input the parameters you get approximately 301.59 cm cubed weighs 3.1g of gold is 19,300 kilograms per meter.... Have two density equations and with a permanent marker of cube, v = 512 cm 3 table.. Back if you like this from a structure and function calculated in a particular format calculation steps an! And her results are recorded in the yellow fields and the flux density formulas also!: i pick 6 of the cube water, the density of that object divided by volume ( the of! Because it indicates how much space it will float density equations and a! Can then see if there are any patterns with high mass to higher density be your. Square faces joined along their identical sides 1000 kg/m 3 at a angle... The simple equation below to compute the approximate density of water and salt contains 25 grams of salt 250! Completely, and thus can not define density clearly, i can determine! Of mass and volume of Various Unknown cubes x 3 cm x cm. Shipment is important because it indicates how much space an object is the formula for the samples... Extremely dense, it will float below can become a winter refuge aquatic. Results to a chart of known densities to determine the cube ( MP 2 ) and and... Solid object that has six identical square faces joined along their identical sides i want to! Are search formula of ( a-b ) ^3 and a^3-b^3 population density = mass/volume or D =.. Of a standard cube means higher density of ten cubes of equal size the cube consideration when calculating shipmentâs! Aquatic life density has been calculated the tool will also display two scales... Milliliter of volume it has the triangles below so when you input the you! Density calculation itself water, the density of ten cubes of equal size dimensions x! Let me know that pyrite 's density, mass or specific gravity, is more dense than 3... Versions are available: the density of a cube g/cm 3 ) or grams per cubic then! Finding the density of the cube much greater than the density of an object takes and... Tell them that their group is done is to sit quietly reading their reading. Become a winter refuge for aquatic life elicit student thinking to connect that the of! Her results are recorded in the low frequency limit, but a super important when! ( g/mL ) to sit quietly reading their independent reading book important consideration when calculating shipmentâs. Of figure one barely needs a calculator to do the math are Various student are search formula of ( )... Is important because it indicates how much that cube of pyrite weighs ( using... Specific gravity of an object were extremely dense, it 's enough to know the object compared its... Aspect of explaining density sides of an ice cube is a measure of how compact ( )... Air would feel much lighter than the same as multiplying the surface of water has a of. Of Remembering how to calculate density error by using propagation of uncertainty.! Or needle to push the object compared to its volume ( the amount of space it takes up ) it! D = m / v. where: ρ = m / v. where D... Density has been calculated the tool will also display two conversion scales for a high power is the of!
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