Perfect Cubes & Cube Roots

What is the cube root of a number?

• The value y such that y² = x.

• The value y such that y³ = x. It is denoted as ∛x.

• The value y such that y⁴ = x.

• The value y such that y = x.

What is the relationship between perfect cubes and cube roots?

• The cube root of a perfect cube is the integer that was cubed to obtain that number.

• The cube root of a perfect cube is always a prime number.

• The cube root of a perfect cube is the square of the original number.

• The cube root of a perfect cube is the number itself.

List the first five perfect cubes.

• 1, 8, 27, 64, 125

• 1, 4, 9, 16, 25

• 1, 2, 3, 4, 5

• 1, 8, 27, 64, 100

5³

• 100

• 120

• 125

• 150

What is a perfect cube?

• A number that can be expressed as the square of an integer.

• A number that can be expressed as the cube of an integer.

• A number that is the product of two identical integers.

• A number that is always even.

What is the value of 3³?

• 24

• 27

• 30

• 21

If the volume of a cube is 64 cubic units, what is the side length?

• 2 units

• 3 units

• 4 units

• 5 units

What is the cube root of 27?

• 1

• 2

• 3

• 4

Calculate ∛125.

• 3

• 4

• 5

• 6

Evaluate ∛1.

• 0

• 1

• 2

• -1