A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?
A.
18

B.
27

C.
36

D.
81

Question

A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?

Accepted Answer

Choice B is correct. The surface area of a cube with side length s is equal to . Since the surface area is given as 54 square meters, the equation can be used to solve for s . Dividing both sides of the equation by 6 yields . Taking the square root of both sides of this equation yields and . Since the side length of a cube must be a positive value, can be discarded as a possible solution, leaving . The volume of a cube with side length s is equal to . Therefore, the volume of this cube, in cubic meters, is , or 27. Choices A, C, and D are incorrect and may result from calculation errors.

Question a-cube