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geometry intermediate

Problem

What is the total surface area, in square inches, of a cube with a volume of cubic foot?
Solution
Recall that

Hence

Finally, remember the formula , that is, Volume is the product of length, width, and height.

The length, height, and width for a cube are equal, so the cube we are given has sides of length . Now, a cube has 6 faces, so the surface area of our cube is

Now, convert:

So, our final answer is
Final answer
864 \mbox{ inches}^2