# Worksheet: Cube Roots of Perfect Cubes

In this worksheet, we will practice finding cube roots of perfect cube integers, fractions, and decimals.

Q1:

What is the edge length of a cube whose volume is 64 cm3?

• A16
• B8
• C4
• D2

Q2:

Evaluate .

Q3:

Evaluate .

Q4:

Calculate .

• A
• B
• C
• D
• E

Q5:

Find the value of .

Q6:

Find the value of .

• A
• B
• C
• D
• E330

Q7:

Is greater than, equal to, or less than ?

• Aless than
• Bequal to
• Cgreater than

Q8:

The cube root of a number is . Write this root in the form .

• A
• B
• C
• D
• E

Q9:

Find the value of .

Q10:

Find the value of .

• A
• B
• C
• D
• E5

Q11:

Find the value of .

Q12:

Determine whether the cube root of a rational number, which is not a perfect cube, is a rational or an irrational number.

• Aa rational number
• Ban irrational number

Q13:

Evaluate .

• A
• B or
• C
• D
• E or

Q14:

Calculate .

Q15:

Half the cube of a number is . Determine the number.

Q16:

Find the value of .

Q17:

Find the value of .

• A
• B
• C
• D
• E

Q18:

Find the value of .

• A
• B
• C
• D
• E

Q19:

Express in its simplest form.

• A
• B
• C
• D

Q20:

Find the value of .

• A
• B
• C
• D
• E0

Q21:

Which of the following is true?

• A
• B
• C
• D

Q22:

Determine whether the cubic root of a perfect cube is a rational or an irrational number.

• Aa rational number
• Ban irrational number

Q23:

The side length, , of a cube is given by the formula , where is the volume of the cube. What is the side length of a cube whose volume is 5,832 cm3?

Q24:

Complete the following: .

• A
• B
• C
• D
• E

Q25:

Replace by a number to make true.