Question

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

Answer 1

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.