Acube has a surface area of 150 square inches what is the area in square inches, of one face is a cube

The area of one face is

Step-by-step explanation:

we know that

The surface area of a cube is equal to the area of one face multiplied by six

so

where

B is the area of one face

In this problem we have

substitute and solve for B

Divide by 6 both sides

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are