Question

What is the volume of a cubes whose total surface area is 150 square feet??

Answer 1

Answer:

The volume of a cube whose total surface area is 150 sq. ft. is 125 cubic feet.

Step-by-step explanation:

Set up an equation that shows the relation between the side length L of the cube and its surface S:

$S = 6\cdot L^2\\150 = 6\cdot L^2\implies\\|L| = \sqrt{\frac{150}{6}}= 5$

The side length of a cube with an area of 150 sq. ft is 5 ft. Now we can easily calculate the volume V:

$V = L^3 = 5^3 = 125$

The volume of a cube whose total surface area is 150 sq. ft. is 125 cubic feet.