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

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