“The surface area of a cube is 96 cm². What is the volume of the cube?”

"A cube’s surface area is 6a² where a is the edge length. Given 6a²=96 we solve a²=16 so a=4 cm. The volume of a cube is a³=4³=64 cm³. This calculation is fundamental in geometry applied in engineering architecture and physics for designing structures and analyzing spatial properties ensuring accurate measurements for material use and structural integrity."