How to find the length of an edge of a prism

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GRE Quantitative Reasoning › How to find the length of an edge of a prism

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The surface area of a rectangular prism is , and the lengths of two sides are and . What is the volume of the prism?

CORRECT

The surface area of a rectangular prism with sides , , and is given as:

Two sides are known; it does not matter how they are designated, but for this problem let and , with as the unknown side. This yields equality:

Now that the three dimensions are known, it's possible to calculate the volume: