Question

The surface area of a cube is 864 in2. What is the area of one face of this cube?

Answer 1

`S=6a^(2) \\ \\ 6a^(2)=864 \\ \\ a^(2)=144`

Answer 2

A cube has six identical faces, so the surface area is six times the area of one face.

Let x be the area of one face.

`6x=864 \\ x=(864)/(4) \\ x=144`

The area of one face of this cube is 144 in².