Question bank / Area and volume

Math · Geometry and TrigonometryMedium

A cube has a volume of 6464 cubic inches. What is the total surface area, in square inches, of the cube?

A

1616

B

6464

C

9696

D

384384

Show answer and explanation

Answer: C

The edge length is 643=4\sqrt[3]{64} = 4 inches. Each of the 66 faces has area 42=164^2 = 16 square inches, so the total surface area is 6×16=966 \times 16 = 96 square inches.

Choice A is the area of just one face.

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