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Math Help - surface area and volume

  1. #1
    Newbie
    Joined
    Sep 2008
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    4

    Unhappy surface area and volume

    If two different shapes have the same volume, does that mean they have the same surface area?
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  2. #2
    Junior Member
    Joined
    Jul 2008
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    46
    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.
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  3. #3
    Newbie
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    Sep 2008
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    Hmm, I see. THANK YOU!!!=D
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