Perfect Cubes & Cube Roots

Front

What is a perfect cube?

Back

A perfect cube is a number that can be expressed as the cube of an integer. For example, 1, 8, 27, and 64 are perfect cubes (1³, 2³, 3³, 4³ respectively).

Front

What is the formula to find the volume of a cube?

Back

The volume V of a cube with side length s is given by the formula V = s³.

Front

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

Back

The side length is 4 units, since 4³ = 64.

Front

What does the symbol '∛' represent?

Back

The symbol '∛' represents the cube root of a number.

Front

What is the cube root of 1,000?

Back

The cube root of 1,000 is 10, since 10³ = 1,000.

Front

What is the cube root of 64?

Back

The cube root of 64 is 4, since 4³ = 64.

Front

What is the index in a cube root expression?

Back

The index in a cube root expression is the small number (3) that indicates the root being taken.

Front

Evaluate ∛1.

Back

The value of ∛1 is 1, since 1³ = 1.

Front

If s = 3, what is the volume of a cube?

Back

The volume is 27 cubic units, since 3³ = 27.

Front

What is the relationship between perfect cubes and their cube roots?

Back

The cube root of a perfect cube is the integer that, when multiplied by itself three times, gives the original number.