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This will usually be the case for objects that have different shapes: even if they have the same volume, it is unlikely that they have the same surface area. As an example, calculate the volume and surface area of the following two rectangular block shapes:
1) A 2 x 2 x 2 rectangular block
2) A 1 x 1 x 8 rectangular block
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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.
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.
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.
How can two cylinders have the same surface area but different volume?
Change in height and circumference
