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Yes. To prove this, consider a simple example -- a cube. The volume of a cube is s3 where s is the length of one edge of the cube. The surface area is equal to 6s2 still using s as the length of one edge of the cube. So now we just need to solve the equation: 6s2 = s3 To do that simply divide each side by s2. Now we have 6 = s. So a cube with an edge of length six units will have an equal volume and surface area. To double check, the volume is 63 = 216. The surface area is 6 x 62 = 63 = 216. Note that although the values are the same (216) the units of measurement are still different: units2 for the surface area and units3 for the volume.

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Q: Is it possible to have the same volume and surface area?
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Related questions

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

yes.


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.


Is it possible for 2 cubes to have the same volume and the same surface area?

Yes they would have to be similar cubes.


How is it possible for objects to have the same volume but different area?

Yes. A cube that is 2x2x2 has the same volume as a rectangular prism that is 1x2x4, which is 8. The surface area of the cube is 24 while the surface area of the rectangular prism is 28.


As a cell increases in size the a. metabolic rate increases. b. surface area to volume ratio increases. c. volume increases and the surface area increases. d. surface area increases and the volume d?

d. surface area increases and the volume does not increase at the same rate, leading to a decrease in surface area to volume ratio.


How are volume and surface area the same?

Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.Volume and surface area can never be the same because volume is a measure in 3-dimensional space whereas area is a measure in 2-dimensional space. The dimensions are different and so equality is not possible.


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.


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.


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


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

The Volume increases faster than the Surface Area