All GRE Math Resources
Example Question #12 : Solid Geometry
The surface area of a rectangular prism is , and the lengths of two sides are and . What is the volume of the prism?
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: