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
The cube root of 13824 is __________.
  • A
    24
    Correct
  • B
    16
  • C
    25
  • D
    36
2
If\(\sqrt[3]{{\frac{x}{y}}} = \frac{2}{3}\), then \(\frac{x}{y} = {\text{ }}\_\_\_\_\_\_\_\_\_.\)
  • A
    8
  • B
    27
  • C
    \(\frac{{27}}{8}\)
  • D
    \(\frac{8}{{27}}\)
    Correct
3
The square of a natural number subtracts from its cube comes 100. The number is __________.
  • A
    2
  • B
    5
    Correct
  • C
    3
  • D
    1
4
Find the cube root of 0.001331.
  • A
    0.111
  • B
    none of these
  • C
    0.11
    Correct
  • D
    0.101
5
Find the smallest number by which 54 must be multiplied so that the product is a perfect cube.
  • A
    none of these
  • B
    4
    Correct
  • C
    3
  • D
    9
6
Three numbers are in the ratio of 2 : 3 : 4 and the sum of their cubes is 33957. Find the numbers.
  • A
    none of these
  • B
    14, 21 and 28
    Correct
  • C
    21, 28 and 35
  • D
    7, 14, 21
7
Find the cube root of -5832.
  • A
    18
  • B
    -18
    Correct
  • C
    -27
  • D
    27
8
The cube root of the \({\text{216 x }}\left( {--{\text{32}}} \right){\text{ x 54 is }}\_\_\_\_\_\_\_\_\)
  • A
    -36
  • B
    -72
    Correct
  • C
    none of these
  • D
    -48
9
If x is ones digit and y is tens digit of a two digit number, then the cube of the number will be _________.
  • A
    \({({\text{1}}0{\text{y }} + {\text{ x}})^{\text{2}}}\)
  • B
    \({({\text{1}}0{\text{y }} + {\text{ x}})^{\text{3}}}.\)
    Correct
  • C
    \({({\text{1}}0{\text{x }} + {\text{ y}})^{\text{3}}}\)
  • D
    none of these
10
A natural number is said to be a perfect cube, if it is the cube of some _________.
  • A
    none of these
  • B
    square number
  • C
    natural number
    Correct
  • D
    cube number
11
If (504 + p) is a perfect cube number, whose cube root is p, then p = ______.
  • A
    4
  • B
    8
    Correct
  • C
    2
  • D
    6
12
23 is a cube root of _________.
  • A
    2304
  • B
    529
  • C
    23
  • D
    12167
    Correct
13
Find the side of the cubical box whose volume is 474.552 dm\(^{\text{3}}\).
  • A
    7.8 dm
    Correct
  • B
    7.2 dm
  • C
    8.7 dm
  • D
    none of these
14
Evaluate: \({\left[ {{{\left\{ {{{24}^2} + {7^2}} \right\}}^{1/2}}} \right]^3}\)
  • A
    none of these
  • B
    3125
  • C
    15625
    Correct
  • D
    625
15
Divide 5673375 by the smallest number so that the product is perfect cube.
  • A
    43
  • B
    41
    Correct
  • C
    42
  • D
    none of these