Class 8 Cubes And Cube Roots CBSE Questions & Answers

Class 8 · Cubes And Cube Roots

This is Mathematics Class 8 Cubes and Cube Roots CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Find the cube of 75.
  • A
    421875
    Correct
  • B
    5625
  • C
    400175
  • D
    417675
2
Find the prime factorisation of 175616.
  • A
    \({2^3} \times {3^3} \times {3^3} \times {7^3}\)
  • B
    \({2^3} \times {2^3} \times {2^3} \times {7^3}\)
    Correct
  • C
    \({2^3} \times {3^3} \times {5^3} \times {7^3}\)
  • D
    \({2^3} \times {2^3} \times {3^3} \times {7^3}\)
3
What is the cube of double of ‘a’?
  • A
    \({\text{16}}{{\text{a}}^{\text{3}}}\)
  • B
    \({\text{4}}{{\text{a}}^{\text{2}}}\)
  • C
    2a
  • D
    \({\text{8}}{{\text{a}}^{\text{3}}}\)
    Correct
4
Find the ones digit of cube root of 2197.
  • A
    3
    Correct
  • B
    7
  • C
    9
  • D
    5
5
Find the cubes of 2x, 3x and 4x.
  • A
    \({\text{4}}{{\text{x}}^{\text{3}}},{\text{ 9}}{{\text{x}}^{\text{3}}},{\text{ 16}}{{\text{x}}^{\text{3}}}\)
  • B
    \({\text{8}}{{\text{x}}^{\text{2}}},{\text{ 27}}{{\text{x}}^{\text{2}}},{\text{ 64}}{{\text{x}}^{\text{2}}}\)
  • C
    \({\text{8}}{{\text{x}}^{\text{3}}},{\text{ 16}}{{\text{x}}^{\text{3}}},{\text{ 64}}{{\text{x}}^{\text{3}}}\)
    Correct
  • D
    \({\text{4}}{{\text{x}}^{\text{2}}},{\text{ 9}}{{\text{x}}^{\text{2}}},{\text{ 16}}{{\text{x}}^{\text{2}}}\)
6
The numbers 1, 8, 27... are ____________.
  • A
    square numbers
  • B
    negative numbers
  • C
    none of these
  • D
    cube numbers
    Correct
7
A natural number is said to be a perfect cube, if it is the cube of some _________.
  • A
    none of these
  • B
    square numbers
  • C
    cube number
  • D
    natural number
    Correct
8
If ‘a’ is a non-zero number, then \(a \times a \times a = {a^{\text{3}}}\) is called ________ of ‘a’.
  • A
    cube root
  • B
    square
  • C
    cube
    Correct
  • D
    none of these
9
36x is a perfect cube number, then x = ______
  • A
    5
  • B
    6
    Correct
  • C
    3
  • D
    4
10
Express \({{\text{6}}^{\text{3}}}\) as the sum of odd numbers.
  • A
    none of these
  • B
    31 + 33 + 35 + 37 + 39 + 41
    Correct
  • C
    31 + 33 + 35 + 37 + 39 + 41 + 43 + 45
  • D
    31 + 33 + 35 + 37 + 39 + 41 + 43
11
Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be
  • A
    2
  • B
    1
  • C
    5
    Correct
  • D
    3
12
Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.
  • A
    3
  • B
    1
  • C
    2
  • D
    5
    Correct
13
Find the cube of 75.
  • A
    421875
    Correct
  • B
    none of these
  • C
    5625
  • D
    400175
14
If \({\left( {{\text{2744}}} \right)^{{\text{1}}/{\text{3}}}} = {\text{ 2p }} + {\text{ 2}},\)then the value of p is
  • A
    3
  • B
    9
  • C
    8
  • D
    6
    Correct
15
If \(n{\text{ }} = {\text{ }}m{\text{ }} \times {\text{ }}m{\text{ }} \times {\text{ }}m{\text{ }} = {\text{ }}{m^3},\) where m is an integer, then n is a perfect cube and the number m is called the __________ of n.
  • A
    cube
  • B
    none of these
  • C
    square root
  • D
    cube root
    Correct