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
If\({\left( {{\text{1728}}} \right)^{{\text{1}}/{\text{3}}}} = {\text{ 2x }} + {\text{ 2}}\), then the value of x is
  • A
    6
  • B
    8
  • C
    5
    Correct
  • D
    7
2
If \({\left( {{\text{2197}}} \right)^{{\text{1}}/{\text{3}}}} = {\text{ 2p }} + {\text{ 1}},\)then the value of p is
  • A
    6
    Correct
  • B
    7
  • C
    8
  • D
    5
3
If\({\left( {{\text{6859}}} \right)^{{\text{1}}/{\text{3}}}} = {\text{ 2p }}--{\text{ 1}}\) , then the value of p is
  • A
    10
    Correct
  • B
    6
  • C
    5
  • D
    20
4
If\({\left( {{\text{8}}000} \right)^{{\text{1}}/{\text{3}}}} = {\text{ 3p }} + {\text{ 5}}\), then the value of p is
  • A
    5
    Correct
  • B
    2
  • C
    7
  • D
    8
5
If \({\left( {{\text{9261}}} \right)^{{\text{1}}/{\text{3}}}} = {\text{ 2p }} + {\text{ 3}},\) then the value of p is
  • A
    5
  • B
    7
  • C
    8
  • D
    9
    Correct
6
The cube root of 15625 is __________.
  • A
    26
  • B
    25
    Correct
  • C
    27
  • D
    28
7
The cube root of 19683 is __________.
  • A
    23
  • B
    27
    Correct
  • C
    25
  • D
    21
8
The cube root of 29791 is __________.
  • A
    35
  • B
    31
    Correct
  • C
    37
  • D
    33
9
The cube root of 42875 is __________.
  • A
    39
  • B
    35
    Correct
  • C
    37
  • D
    41
10
The cube root of 79507 is __________.
  • A
    45
  • B
    49
  • C
    47
  • D
    43
    Correct
11
If\(\sqrt[3]{{\frac{x}{y}}} = \frac{3}{4}\), then \(\frac{x}{y} = {\text{ }}\_\_\_\_\_\_\_\_\_.\)
  • A
    64
  • B
    \(\frac{{64}}{{27}}\)
  • C
    27
  • D
    \(\frac{{27}}{{64}}\)
    Correct
12
If\(\sqrt[3]{{\frac{x}{y}}} = \frac{2}{5}\), then \(\frac{x}{y} = {\text{ }}\_\_\_\_\_\_\_\_\_.\)
  • A
    125
  • B
    \(\frac{{125}}{8}\)
  • C
    8
  • D
    \(\frac{8}{{125}}\)
    Correct
13
If\(\sqrt[3]{{\frac{x}{y}}} = \frac{3}{7}\), then \(\frac{x}{y} = {\text{ }}\_\_\_\_\_\_\_\_\_.\)
  • A
    343
  • B
    \(\frac{{27}}{{343}}\)
    Correct
  • C
    \(\frac{{343}}{{27}}\)
  • D
    27
14
If\(\sqrt[3]{{\frac{x}{y}}} = \frac{7}{8}\), then \(\frac{x}{y} = {\text{ }}\_\_\_\_\_\_\_\_\_.\)
  • A
    512
  • B
    \(\frac{{343}}{{512}}\)
    Correct
  • C
    343
  • D
    \(\frac{{512}}{{343}}\)
15
If\(\sqrt[3]{{\frac{x}{y}}} = \frac{6}{7}\), then \(\frac{x}{y} = {\text{ }}\_\_\_\_\_\_\_\_\_.\)
  • A
    \(\frac{{216}}{{343}}\)
    Correct
  • B
    \(\frac{{343}}{{216}}\)
  • C
    343
  • D
    216