Question

the expression 6x^2 gives the surface of a cube and the expression x^3 gives the volume of a cube where x is the length on one side of the cube . find the surface area and the volume of cube with a length of 2 m.

Answer 1

Surface of a cube=S(x)
S(x)=6x²
S(2 m)=6(2 m)²=6(4 m²)=24 m²

The surface of this cube is 24 m².

Volume of a cube=V(x)
V(x)=x³
V(2 m)=(2 m)³=8 m³

The volume of this cube is 8 m³.