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CBSE Class 8  >  Class 8 Test  >  Online Quizzes   >  Olympiad Test: Cubes And Cube Roots - Class 8 MCQ

Olympiad Test: Cubes And Cube Roots - Free MCQ with solutions Class 8


MCQ Practice Test & Solutions: Olympiad Test: Cubes And Cube Roots (20 Questions)

You can prepare effectively for Class 8 Online Quizzes for Class 8 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: Cubes And Cube Roots". These 20 questions have been designed by the experts with the latest curriculum of Class 8 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 20

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Olympiad Test: Cubes And Cube Roots - Question 1
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A natural number is said to be a perfect cube, if it is the cube of some _________.

Detailed Solution: Question 1

The answer is natural number

The cube of a natural number is always a natural number.

Olympiad Test: Cubes And Cube Roots - Question 2
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The cube of 23 is ___________

Detailed Solution: Question 2

233 = 23×23×23 = 12167

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Olympiad Test: Cubes And Cube Roots - Question 3
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Find the cube of 75.

Olympiad Test: Cubes And Cube Roots - Question 4
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If n = m × m × m = m3, where m is an integer, then n is a perfect cube and the number m is called the __________ of n.

Olympiad Test: Cubes And Cube Roots - Question 5
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If (2744)1/3 = 2p+2, then the value of P is

Detailed Solution: Question 5

Olympiad Test: Cubes And Cube Roots - Question 6
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The cube root of 13824 is __________.

Detailed Solution: Question 6

By prime factorisation:
13824 is (2x2x2)x(2x2x2)x(2x2x2)x(3x3x3)
Making pairs of three three numbers
which gives 2x2x2x3=24
Therefore cube root of 13824 is 24

Olympiad Test: Cubes And Cube Roots - Question 7
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The square of a natural number subtracts from its cube comes 100. The number is __________.

Olympiad Test: Cubes And Cube Roots - Question 8
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Find the cube root of 0.001331.

Olympiad Test: Cubes And Cube Roots - Question 9
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Find the smallest number by which 54 must be multiplied so that the product is a perfect cube.

Olympiad Test: Cubes And Cube Roots - Question 10
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Find the ones digit of cube root of 2197.

Detailed Solution: Question 10

The answer is 3

2197 

Unit's place of 2197 = 7

The ones digit of cube root of 2197 will be 3 as 33 = 27 which has 7 as unit's place

Olympiad Test: Cubes And Cube Roots - Question 11
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Find the cube root of -5832.

Olympiad Test: Cubes And Cube Roots - Question 12
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The cube root of the 216 x (−32) x 54 is ________

Detailed Solution: Question 12

We have 216 x (-32) x 54.
Applying prime factorisation gives
which gives  -(6 x 2 x 2 x 3)= -72.

Olympiad Test: Cubes And Cube Roots - Question 13
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If x is ones digit and y is tens digit of a two digit number, then the cube of the number will be _________.

Olympiad Test: Cubes And Cube Roots - Question 14
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If 72×K is a perfect cube, find the value of K.

Detailed Solution: Question 14

72 = 2×2×2×3×3

 If  K = 3, 72×K = 72 × 3 = 216 = 63

 is a perfect cube.

Olympiad Test: Cubes And Cube Roots - Question 15
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If (504 + p) is a perfect cube number, whose cube root is p, then p = ______.

Detailed Solution: Question 15

Dear Student, we know that 83= 512
So p = 512−504 = 8

Olympiad Test: Cubes And Cube Roots - Question 16
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23 is a cube root of _________.

Olympiad Test: Cubes And Cube Roots - Question 17
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Find the side of the cubical box whose volume is 474.552 dm3.

Olympiad Test: Cubes And Cube Roots - Question 18
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If volume of cube is 4913cm³ then length of side of cube is

Olympiad Test: Cubes And Cube Roots - Question 19
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Divide 5673375 by the smallest number so that the product is perfect cube.

Detailed Solution: Question 19

The Prime Factors are:
3 x 3 x 3 x 5 x 5 x 5 x 41 x 41

 

In Exponential Form:
3^3 x 5^3 x 41^2
So we have to divide by 41^2

Olympiad Test: Cubes And Cube Roots - Question 20
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Detailed Solution: Question 20

Taking cube both the sides,

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About this Class 8 Practice Test

This test contains 20 MCQs on Olympiad Test: Cubes And Cube Roots with detailed solutions for each question. It is part of the Online Quizzes for Class 8 course on EduRev, designed to align with the current Class 8 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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