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.

  • A29
  • B23
  • C227
  • D2729
  • E89

Q5:

Find the value of 125.

Q6:

Find the value of 55216.

  • A655
  • B655
  • C330
  • D330
  • 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.

  • A64𝑥𝑦
  • B4𝑥𝑦
  • C12𝑥𝑦
  • D64𝑥𝑦
  • E12𝑥𝑦

Q9:

Find the value of 125.

Q10:

Find the value of 642718.

  • A116
  • B83
  • C1118
  • D23
  • 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.

  • A89
  • B87 or 87
  • C87
  • D47
  • E47 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.

  • A43
  • B916
  • C34,34
  • D34
  • E43,43

Q18:

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

  • A7390
  • B13
  • C10027
  • D719
  • E73270

Q19:

Express 2562427 in its simplest form.

  • A24
  • B46
  • C543
  • D43

Q20:

Find the value of 278×2764.

  • A2
  • B98
  • C92
  • D32
  • E0

Q21:

Which of the following is true?

  • A44(2,5)
  • B44(2,5)
  • C44(2,5)
  • D44(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=().

  • A7𝑥𝑏
  • B49𝑥𝑏
  • C7𝑥𝑏
  • D7𝑥𝑏
  • E7𝑥𝑏

Q25:

Replace 𝑥 by a number to make 64=𝑥 true.

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