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Example Question #11 : 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?
Possible Answers:
Correct answer:
Explanation:
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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