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 27.

Q3:

Evaluate 125.

Q4:

Calculate 8729.

  • A 2 9
  • B 2 3
  • C 2 2 7
  • D 2 7 2 9
  • E 8 9

Q5:

Find the value of 125.

Q6:

Find the value of 55216.

  • A 6 5 5
  • B 6 5 5
  • C 3 3 0
  • D 3 3 0
  • E330

Q7:

Is 121 greater than, equal to, or less than 42?

  • Aless than
  • Bequal to
  • Cgreater than

Q8:

The cube root of a number 𝑧 is 4𝑥𝑦. Write this root in the form 𝑧.

  • A 6 4 𝑥 𝑦
  • B 4 𝑥 𝑦
  • C 1 2 𝑥 𝑦
  • D 6 4 𝑥 𝑦
  • E 1 2 𝑥 𝑦

Q9:

Find the value of 125.

Q10:

Find the value of 642718.

  • A 1 1 6
  • B 8 3
  • C 1 1 1 8
  • D 2 3
  • E5

Q11:

Find the value of 4×0.1.

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 64343.

  • A 8 9
  • B 8 7 or 87
  • C 8 7
  • D 4 7
  • E 4 7 or 47

Q14:

Calculate 0.000361+5.981.

Q15:

Half the cube of a number is 0.1715. Determine the number.

Q16:

Find the value of 0.027.

Q17:

Find the value of 412÷1023.

  • A 4 3
  • B 9 1 6
  • C 3 4 , 3 4
  • D 3 4
  • E 4 3 , 4 3

Q18:

Find the value of 1,000729+271,000.

  • A 7 3 9 0
  • B 1 3
  • C 1 0 0 2 7
  • D 7 1 9
  • E 7 3 2 7 0

Q19:

Express 2562427 in its simplest form.

  • A 2 4
  • B 4 6
  • C 5 4 3
  • D 4 3

Q20:

Find the value of 278×2764.

  • A 2
  • B 9 8
  • C 9 2
  • D 3 2
  • E0

Q21:

Which of the following is true?

  • A 4 4 ( 2 , 5 )
  • B 4 4 ( 2 , 5 )
  • C 4 4 ( 2 , 5 )
  • D 4 4 ( 2 , 5 )

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

Q24:

Complete the following: 343𝑥𝑏=().

  • A 7 𝑥 𝑏
  • B 4 9 𝑥 𝑏
  • C 7 𝑥 𝑏
  • D 7 𝑥 𝑏
  • E 7 𝑥 𝑏

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