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 value of\(\sqrt[3]{{\sqrt {0.000064} }}\).
  • A
    0.02
  • B
    0.3
  • C
    0.2
    Correct
  • D
    0.03
2
Ones place digit in the cube of 5832 is ______.
  • A
    5
  • B
    7
  • C
    8
    Correct
  • D
    2
3
Find the cube root of\(\frac{{686}}{{ - 3456}}\).
  • A
    \( - \frac{{14}}{{26}}\)
  • B
    \( - \frac{7}{{24}}\)
  • C
    \( - \frac{7}{{13}}\)
  • D
    \( - \frac{7}{{12}}\)
    Correct
4
Which is/are the following are not perfect cube number/s?
  • A
    343
  • B
    216
  • C
    128
    Correct
  • D
    1000
5
The smallest number by which the number 192 must be divided to obtain a perfect cube is _________.
  • A
    7
  • B
    none of these
  • C
    5
  • D
    3
    Correct
6
In the prime factorisation of a perfect cube, every ________ occurs three times or a multiple of three times.
  • A
    Even
  • B
    Odd
  • C
    Prime
    Correct
  • D
    Composite
7
If ‘a’ is a non-zero number, then \(a \times a \times a = {a^{\text{3}}}\) is called ________ of ‘a’.
  • A
    cube root
  • B
    cube
    Correct
  • C
    none of these
  • D
    square
8
36x is a perfect cube number, then x = ______
  • A
    3
  • B
    4
  • C
    1
  • D
    6
    Correct
9
The volume of a cube is 9261 \({\text{c}}{{\text{m}}^{\text{3}}}\) . Find the side of the cube.
  • A
    none of these
  • B
    21 cm
    Correct
  • C
    22 cm
  • D
    2.1 cm
10
Find the smallest number which when multiplied with 137592 will make the product a perfect cube.
  • A
    1183
    Correct
  • B
    1185
  • C
    none of these
  • D
    1186
11
Find the value of\(\,\,125\sqrt[3]{{{a^6}}} - \sqrt[3]{{125\,{a^6}}}\), when a = 2
  • A
    360
  • B
    640
  • C
    480
    Correct
  • D
    490
12
Which among the following is the greatest?
  • A
    \(\sqrt[3]{{\frac{{166375}}{{343}}}}\)
  • B
    \({\left( {\frac{7}{5}} \right)^3}\)
    Correct
  • C
    \(\sqrt[3]{{\frac{{729}}{8}}}\)
  • D
    \(\sqrt[3]{{\frac{{2197}}{{729}}}}\)
13
Find the cube of 75.
  • A
    400175
  • B
    5625
  • C
    none of these
  • D
    421875
    Correct
14
Find the cube root of 175616.
  • A
    none of these
  • B
    36
  • C
    66
  • D
    56
    Correct
15
Find the cube root of \({\text{14}}0{\text{ }} \times {\text{ 245}}0.\)
  • A
    70
    Correct
  • B
    45
  • C
    55
  • D
    none of these