If the total surface area of a cube is 96 cm2 , then find the volume of the cube.

64 cm3 82 cm3 27 cm3 74 cm3

64 cm3

We know that, Surface area of cube = Total surface area of a cube = 6a2 Volume of cube = a3 Given, Surface area of cube = 96 cm2 = Putting the given value, we get = 6a2 = 96 = a2 = \(\frac{96}{6}\) = 16 = a = \(\sqrt {16}\) = 4 cm Side of cube, a = 4 cm Volume of cube = a3 = a3 = 43 = 64 cm3