2021 Fall AMC 12A Problems/Problem 9
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Problem
A right rectangular prism whose surface area and volume are numerically equal has edge lengths and What is
Solution
The surface area of this right rectangular prism is
The volume of this right rectangular prism is
Equating the numerical values of the surface area and the volume, we have Dividing both sides by we get Recall that and so we rewrite as ~MRENTHUSIASM
See Also
2021 Fall AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 8 |
Followed by Problem 10 |
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