Question

a box has a volume of 27 cubic feet. assuming the box is a cube, what is the area of one of its faces? square feet

Explanation:

Step1: Find the side - length of the cube

The volume formula for a cube is $V = s^{3}$, where $V$ is the volume and $s$ is the side - length. Given $V = 27$ cubic feet, we solve the equation $s^{3}=27$. Taking the cube - root of both sides, $s=\sqrt[3]{27}=3$ feet.

Step2: Calculate the area of one face

The area formula for one face of a cube is $A = s^{2}$. Since $s = 3$ feet, then $A=3^{2}=9$ square feet.

Answer:

9