SOLUTION: Find the volume of a cube if its surface area is 6x^2 + 36x + 54 square meters

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Question 449321: Find the volume of a cube if its surface area is 6x^2 + 36x + 54 square meters
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
First we factor the polynomial of the surface area:
6x%5E2%2B36x%2B54=6%28x%5E2%2B6x%2B9%29=6%28x%2B3%29%5E2, from this expression we conclude that the
dimension of the cube is (x+3) m, because the area of one side of the cube is
%28x%2B3%29%5E2 square meter, and the volume will be:
V=%28x%2B3%29%5E2%2A%28x%2B3%29=%28x%2B3%29%5E3m%5E3