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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- Feb 15th 2011, 07:40 AMrn5aVolume 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 - Feb 15th 2011, 07:45 AMe^(i*pi)
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 - Feb 15th 2011, 07:52 AMearboth