If two different shapes have the same volume, does that mean they have the same surface area?

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- Oct 19th 2008, 10:18 PMpretzel07surface area and volume
If two different shapes have the same volume, does that mean they have the same surface area?

- Oct 19th 2008, 10:36 PMTony2710
No!

You can easily find a counterexample.

Consider a cube of, say, 1 unit length and find it's volume and surface areas.

Then consider a cuboid with sides 2, 1 and 0.5 units long (which has the same volume as the unit cube) and find it's surface area.

You should find that the surfaces areas are different, which dis-proves your statement. - Oct 19th 2008, 10:56 PMpretzel07
Hmm, I see. THANK YOU!!!=D