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Class 8

Explore popular questions from Cubes and Cube Roots for Class 8. This collection covers Cubes and Cube Roots previous year Class 8 questions hand picked by experienced teachers.

Cubes and Cube Roots

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Q 1. Cube of an odd natural number is

A

an even natural number

an odd natural number

C

a prime number

D

none of these

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Q 2. Cube of an even natural number is

an even natural number

B

an odd natural number

C

a prime number

D

none of these

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Q 3. Cube root of a negative number is

a negative number

B

a positive number

C

sometimes negative, sometimes positive

D

none of these

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Q 4. Cube root of the product of two negative numbers is

A

a negative number

a positive number

C

sometimes negative, sometimes positive

D

none of these

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Q 5. For a non-zero integer {tex}x,x^3{/tex} is

A

always less than {tex}x^2{/tex}

B

always greater than {tex}x^2{/tex}

sometimes less and sometimes greater than {tex}x^2{/tex}

D

none of these

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Q 6. What is the value of {tex}\sqrt[3]{0.000064}{/tex} ?

A

0.4

B

0.08

0.04

D

0.16

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Q 7. What is the value of {tex}\sqrt[3]{\sqrt{441}+\sqrt{16}+\sqrt{4}}{/tex}

3

B

5

C

7

D

None

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Q 8. The smallest number by which 3600 must be multiplied to make it a perfect cube

A

40

60

C

20

D

15

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Q 9. {tex}\sqrt[3]{-1}{/tex} = ?

-1

B

1

C

-1/3

D

None of these

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Q 10. {tex}\sqrt[3]{\frac{72.9}{0.4096}}{/tex} is equal to

A

0.5625

5.625

C

182

D

13.6

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Q 11. The digit in the unit's place in the cube root of 21952 is

8

B

6

C

4

D

2

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Q 12. If the cube root of 175616 is 56, then the value of {tex}\sqrt[3]{175.616}+\sqrt[3]{0.175616}+\sqrt[3]{0.000175616}{/tex} is equal to

A

0.168

B

62.16

6.216

D

6.116

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Q 13. {tex}\sqrt{\sqrt[3]{0.004096}}{/tex} is equal to

A

4

0.4

C

0.04

D

0.004

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Q 14. The value of {tex}\sqrt[3]{(-343)\times(512)}{/tex} is

A

56

-56

C

65

D

-65

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Q 15. The volumes of two cubes are in the ratio of 343 : 1331, the ratio of their edges is

A

7 : 10

7 : 11

C

7 : 12

D

None of these

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Q 16. The smallest natural number by which 32 must be multiplied to get a perfect cube is

A

16

B

4

2

D

8

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Q 17. {tex}\sqrt[3]{8 \times 64}{/tex} = ?

A

12

B

16

8

D

24

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Q 18. The value of {tex}\sqrt[3]{{-2}^3}{/tex} is

A

{tex}{-2}^3{/tex}

{tex}-2{/tex}

C

{tex}{2}^3{/tex}

D

{tex}2{/tex}

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Q 19. The cube of 70 is

A

49000

B

490000

343000

D

34300

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Q 20. The cube of (-5) is

A

25

-125

C

125

D

-25

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Q 21. The cube of {tex}\bigg(2-\frac{1}{3}\bigg){/tex} is

A

{tex}8-\frac{1}{27}{/tex}

{tex}\frac{125}{27}{/tex}

C

{tex}\frac{25}{9}{/tex}

D

{tex}\frac{343}{27}{/tex}

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Q 22. {tex}\sqrt[3]{\frac{3^6\times 4^3\times 2^{6}}{8^9\times 2^{3}}}{/tex} =

A

{tex}\frac{3}{8}{/tex}

B

{tex}\frac{9}{8}{/tex}

C

{tex}\frac{3}{64}{/tex}

{tex}\frac{9}{64}{/tex}

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Q 23. The cube root of the number 10648 is __________.

A

42

B

38

C

28

22

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Q 24. The cube of a number ending in 3, ends in __________.

A

3

7

C

9

D

Cannot say

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Q 25. Find the value of {tex}\sqrt[3]{6075}\times \sqrt[3]{88935} \times \sqrt[3]{9625}{/tex} .

A

17355

B

17255

C

17315

17325