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Cubes and Cube Roots Practice Questions

Class 8 · Mathematics · 1121 free MCQs with instant results and detailed explanations.

1121
Total
332
Easy
556
Medium
233
Hard

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Topics in Cubes and Cube Roots

Cube Root Methods 370
Properties 370
Perfect Cubes 381

Sample Questions from Cubes and Cube Roots

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
Which of the following numbers is a perfect cube?
A. 64
B. 50
C. 28
D. 40
Show Answer & Explanation
Correct Answer: A
64 is a perfect cube because it can be expressed as 4 × 4 × 4 (or 4^3). The other options cannot be expressed as the cube of an integer.
Q2
Easy
What is the cube of 3?
A. 27
B. 9
C. 12
D. 18
Show Answer & Explanation
Correct Answer: A
The cube of 3 is calculated as 3 × 3 × 3 = 27.
Q3
Easy
Which of the following is a perfect cube?
A. 64
B. 50
C. 72
D. 80
Show Answer & Explanation
Correct Answer: A
64 is a perfect cube because it is equal to 4 × 4 × 4.
Q4
Medium
Which of the following is a perfect cube?
A. 27
B. 16
C. 20
D. 10
Show Answer & Explanation
Correct Answer: A
27 is 3 cubed (3 * 3 * 3), while the others are not perfect cubes.
Q5
Medium
Which of the following numbers is NOT a perfect cube?
A. 1
B. 8
C. 125
D. 50
Show Answer & Explanation
Correct Answer: D
50 cannot be expressed as n^3 for any integer n, while the others are.
Q6
Medium
If a number is a perfect cube, what could its unit digit be?
A. 2
B. 4
C. 5
D. 7
Show Answer & Explanation
Correct Answer: C
The unit digit of a perfect cube can only be 0, 1, 8, 7, 9, or 5.
Q7
Medium
What is the smallest perfect cube greater than 30?
A. 27
B. 64
C. 8
D. 100
Show Answer & Explanation
Correct Answer: B
The next perfect cube after 27 is 64, which is greater than 30.
Q8
Hard
Which of the following numbers is not a perfect cube?
A. 64
B. 125
C. 27
D. 50
Show Answer & Explanation
Correct Answer: D
50 is not a perfect cube because it cannot be expressed as the cube of an integer.
Q9
Hard
What is the cube root of 512?
A. 8
B. 6
C. 7
D. 9
Show Answer & Explanation
Correct Answer: A
512 is the cube of 8 as 8 x 8 x 8 = 512, thus the cube root is 8.
Q10
Hard
If the volume of a cube is 729 cubic centimeters, what is the length of one side?
A. 9 cm
B. 8 cm
C. 7 cm
D. 6 cm
Show Answer & Explanation
Correct Answer: A
The length of one side is the cube root of the volume: cube root of 729 is 9 cm.

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Cubes and Cube Roots — Class 8 Mathematics Practice Questions Online

This page contains 1121 practice MCQs for the chapter Cubes and Cube Roots in Class 8 Mathematics. The questions are organized by difficulty — 332 easy, 556 medium, 233 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.