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Is surface area the same as volume?

Updated: 4/28/2022
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11y ago

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No. How can they be the same, if one of them is a two-dimensional measure, the other a three-dimensional measure.

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Q: Is surface area the same as volume?
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Do figures with the same volume always have the same surface area?

figures with the same volume does not have the same surface area.


How do you calculate the surface-area-to-volume-ratio?

The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.


If two rectangular prisms have the same volume do they have the same surface area?

well, they can, but they dont have to be no. :)


Do solids that have the same volume have the same surface area?

Not necessarily. Having the same volume does not mean having the same surface area. As an example, if you were to take a sphere with volume 4/3*pi*r^3, and a suface area of 4*pi*r^2, and compare it to a cube with sides 4/3, pi, and 4^3, you would find that they had a different surface area, but the same volume. Let the radius of the sphere be 2, that is r = 2. In this case the surface are of the sphere is about 50, and the surface are of the cube is about 80. So a sphere and a cube, both with a volume of about 33.51 (4/3 * pi * 8), have different surface areas.


What happens to the volume of an object as its surface area increases?

In general, the volume will also increase. If the shape remains the same, the volume will increase faster than the surface area. Specifically, the surface area is proportional to the square of an object's diameter (or any other linear measurement), while the volume is proportional to the cube of any linear measurement.

Related questions

How are volume and surface area the same when volume stays the same?

There is no reason for the surface area to remain the same even if the volume is the same.


Do figures with the same volume always have the same surface area?

figures with the same volume does not have the same surface area.


Do cubes have the same volume and surface area?

Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.


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.


What is the ratio of surface area to volume for a sphere with surface area and volume m?

If they have the same radius then it is: 3 to 2


Is the volume of a cylinder the same as the surface area of a cylinder?

no


How does the surface area to volume ratio change as the cell size increases?

It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.


As a cell becomes larger what happens to its surface area and volume?

The Volume increases faster than the Surface Area


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 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.


Is it possible to have the same surface area different volume?

yes.


What dimentions do you need to get the same surface area as volume?

The depth would have to have a value of 1. For example, a slab 60" long by 24" wide by 1" deep would have the same surface area as volume. Examples: Area = LxW (60x24=1440 sq inches). Volume = LXWXD (60x24x1=1440 cubic inches). In this case, the volume has the same value as the surface area