Multiple choice

The volume of a cube (in cubic centimeters), whose total surface area is 384 square centimeters, is

  1. 64

  2. 512

  3. 128

  4. 256

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total surface area of a cube is 6 * s^2 = 384, so s^2 = 64 and s = 8 cm. The volume is s^3 = 8^3 = 512 cubic centimeters.

AI explanation

Using the surface area formula for a cube, 6a^2 = 384, so the side length a is 8 centimeters. The volume of the cube is calculated as a^3. Therefore, the volume is 8^3, which equals 512 cubic centimeters.