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Math Help - Volume of Cuboid

  1. #1
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    Question Volume of Cuboid

    Area of six surfaces of a cuboid are 12, 12, 20, 20, 15 & 15 sq.cm respectively. How do I find the volume of this cuboid?

    Thanks,

    Ron
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  2. #2
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    e^(i*pi)'s Avatar
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    This is one of those questions where a diagram comes in handy.

    Since each face (technical name for a surface) is a rectangle then each side must be a factor of any 2 of 12, 15 and 20.

    It follows that in this example your side lengths are 3, 4 and 5 since 3*4 = 12, 3*5 = 15 and 4*5 = 20 (this matches up to the diagram I drew)

    Now you know the side lengths it is trivial to find the volume
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  3. #3
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    Quote Originally Posted by rn5a View Post
    Area of six surfaces of a cuboid are 12, 12, 20, 20, 15 & 15 sq.cm respectively. How do I find the volume of this cuboid?

    Thanks,

    Ron
    ...


    EDIT: ... too late, as usual
    Attached Thumbnails Attached Thumbnails Volume of Cuboid-dim_cuboid.png  
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