How to find the length of an edge of a prism - GRE Quantitative Reasoning
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Question
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 is
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:
The surface area of a rectangular prism with sides
Two sides are known; it does not matter how they are designated, but for this problem let
Now that the three dimensions are known, it's possible to calculate the volume:
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