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Why are the units for volume and surface area raised to different powers?
Wiki User
∙ 13y ago
Surface area is the sum of the areas of all the surfaces of an object. When you add units, they stay the same. Since you are adding, let's say, meters squared and meters squared and meters squared, your unit is still meters squared.
Volume is a measure of how much space is inside an object. To find volume, you must multiply length, width, and height. In our example, that would be meters x meters x meters. When you multiply units, they multiply to each other. So, we get meters cubed, or meters^3.
Wiki User
∙ 13y ago
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What is the volume of a shape with a surface area of ten cm?
depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.
What the relationships between the surface area of an object and the volume as the object increases in size?
They both increase. The rate of increase of the surface area is equivalent to the rate of increase of the volume raised to the power 2/3.
What surface area equal to its volume?
No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.
Is it possible to have the same surface area different volume?
yes.
How is findeng volume different from finding area?
Area is of a flat surface whereas volume is of a three dimensional shape.
Can two rectangular prisms have the same surface area but different volume?
Yes, they can. They can also have the same surface area, but different volume.
How do you compare the surface are to volume ratio of cells of different size?
You need to:* Calculate the surface area * Calculate the volume * Divide the surface area by the volume
How do you use the formula for a triangular prism?
There are different formulae for their volume, surface area, mass, etc. You have not specified what formula and for what purpose.There are different formulae for their volume, surface area, mass, etc. You have not specified what formula and for what purpose.There are different formulae for their volume, surface area, mass, etc. You have not specified what formula and for what purpose.There are different formulae for their volume, surface area, mass, etc. You have not specified what formula and for what purpose.
What is the volume of a shape with a surface area of ten cm?
depends on the shape... if its a sphere or a prism or what. You'll get different answers because they have different surface area to volume ratios. Sphere will give you the biggest volume for a given surface area.
How is area different then volume?
Area is the surface. Volume is the entire internal space.
What the relationships between the surface area of an object and the volume as the object increases in size?
They both increase. The rate of increase of the surface area is equivalent to the rate of increase of the volume raised to the power 2/3.
What surface area equal to its volume?
No solid figure has a surface area equal to its volume. That would not be possible as the units of measure are different.
Is it possible to have the same surface area different volume?
yes.
How much larger can surface area be than the volume?
You can't directly compare surface area and volume, since they use different types of units.
How can two rectangular prisms have the same surface area but different volumes?
Yes, they can. They can also have the same surface area, but different volume.
How is findeng volume different from finding area?
Area is of a flat surface whereas volume is of a three dimensional shape.
How can you obtain a cell's ratio of surface area to volume?
To obtain the ratio of surface area to volume, divide the surface area by the volume.
