GRE Math : How to find the length of an edge of a prism

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #5 : Prisms

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

Possible Answers:

Correct answer:


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:

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