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 $6 s squared$ . Since the surface area is given as 54 square meters, the equation $54 equals, 6 s squared$ can be used to solve for s. Dividing both sides of the equation by 6 yields $9 equals, s squared$ . Taking the square root of both sides of this equation yields $3 equals s$ and $negative 3, equals s$ . Since the side length of a cube must be a positive value, $s equals, negative 3$ can be discarded as a possible solution, leaving $s equals 3$ . The volume of a cube with side length s is equal to $s cubed$ . Therefore, the volume of this cube, in cubic meters, is $3 cubed$ , or 27.

Choices A, C, and D are incorrect and may result from calculation errors.

Question a-cube

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

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