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The surface area of a cube is 1,014^2. Find the volume of the cube.

User Noelm
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Let the length of one side of the cube be x. Then the surface area of the cube is A = 6x^2 = 1014 cubic units. We want the cube volume, so must first solve for x and then cube the result:

1014 cu. in.
x = square root of ----------------- = sqrt(169) = 13
6

The volume of this cube is thus (13 units)^3 = 4826809 cubic units.
User Joe Friedrichsen
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