HardMath· Geometry and Trigonometry· Area and volume· MCQ
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
Correct answer: B
Explanation
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.
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id cb_question_bank:fc931a44-d56a-47ce-ab4a-3a3ec3e9dd05 · question 310c87fe · IBN 025459-DC
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