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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