A cube has a surface area of fifty-four square centimeters. What is the volume of the cube?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

A cube has 6 sides, so each side must have an area of 9 (54/6=9) the area of a side is found by multiplying the length of two edges together, so the length of one edge must be sqrt(9) which equals 3 (3*3=9) the volume of a cube is found...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

A cube has 6 sides, so each side must have an area of 9 (54/6=9) the area of a side is found by multiplying the length of two edges together, so the length of one edge must be sqrt(9) which equals 3 (3*3=9) the volume of a cube is found by multiplying the length, width, and height together, which in this case are all the same 3*3*3 = 3^3 = 27 cubic centimeters.

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

The surface area of a cube =54 cm^2

Since the cube has 6 faces, then the surface area of one of the faces = 54/6= 9

Then the area of one of the squares=9

Then the side of the cube= sqrt9 =3

Then the volume (v) = side^3 = 3^3= 27 cm^3

Approved by eNotes Editorial Team