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If the three dimensions of the prism are a, b and c thenV = abc

and S = 2*(ab + bc + ca)

From the first, a = V/bc

Substitute this expression for a in the equation for S.

Multiply the resulting equation by bc.

You will have a quadratic equation in b and c.

Use it to solve for c.

Then substitute this value in the quadratic equation and solve for b.

Finally, a = V/bc.


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