Cubes and Cube Roots

Q. If the side of a cube is doubled, by what factor does the volume increase?

Solution

If the side is doubled, the volume increases by a factor of 2^3 = 8.

Correct Answer: D — 8

Q. If the volume of a cube is 729 cubic units, what is the length of one side?

Solution

The side length is the cube root of the volume: cube root of 729 is 9.

Correct Answer: A — 9

Q. What is the cube of -3?

Solution

The cube of -3 is -3 * -3 * -3 = -27.

Correct Answer: B — -27

Q. What is the cube of 5?

Solution

The cube of 5 is calculated as 5 * 5 * 5 = 125.

Correct Answer: C — 125

Q. What is the cube root of 1,000,000?

Solution

The cube root of 1,000,000 is 100, since 100 * 100 * 100 = 1,000,000.

Correct Answer: B — 1000

Q. What is the cube root of 64?

Solution

The cube root of 64 is 4, since 4 * 4 * 4 = 64.

Correct Answer: B — 4

Q. What is the value of 3 cubed plus 2 cubed?

Solution

3 cubed is 27 and 2 cubed is 8. So, 27 + 8 = 35.

Correct Answer: B — 35

Q. Which of the following is NOT a cube of an integer?

Solution

30 is not a cube of any integer.

Correct Answer: D — 30

Q. Which of the following numbers is a perfect cube?

Solution

27 is a perfect cube because it is equal to 3 * 3 * 3.

Correct Answer: B — 27

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