# MCQ Questions for Class 8 Maths Chapter 7 Cubes and Cube Roots with Answers

Free PDF Download of CBSE Maths Multiple Choice Questions for Class8 with Answers Chapter 7 Cubes and Cube Roots. Maths MCQs for Class 8 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 8 Maths Cubes and Cube Roots MCQs Pdf with Answers to know their preparation level.

## Cubes and Cube Roots Class 8 Maths MCQs Pdf

1. The one’s digit of the cube of 53 is:
a) 9
b) 3
c) 7
d) 1

Explanation: 533 = 53 x 53 x 53

33 = 3x3x3 = 27

Hence, at unit place we will get 7.

Recheck: 533 = 53 x 53 x 53 = 148877

2. The prime factorisation of 64 is:
a) 2 x 2 x 2
b) 4 x 4 x 4
c) 8 x 8 x 8
d) None of the above

Explanation: 64 = 43 = 4 x 4 x 4

3. Which of the following is not a perfect cube?
a) 216
b) 1000
c) 243
d) 1331

Explanation: 243 = 3 × 3 × 3 × 3 × 3 = 33 × 32

4. By what number should 81 be divided to get a perfect cube?
a) 3
b) 6
c) 7
d) 9

Explanation: The prime factorisation of 81 will be:

81 = 3 × 3 × 3 × 3

81 = 33 × 3

Hence, we need to divide 81 by 3 to get:

81/3 = 27 = 33

5. By what number should we divide 135 to get a perfect cube?
a) 3
b) 5
c) 7
d) 9

Explanation: 135 = 3 x 3 x 3 x 5

We can see, 5 is the extra number which cannot be paired in a group of 3.

Hence, 135/5 = 27

6. Cube root of 512 is:
a) 4
b) 6
c) 8
d) 12

Explanation: By prime factorisation we get:

512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

3√512 = 2 × 2 × 2 = 8

7. What should be divided by 53240 to make it a perfect cube?
a) 5
b) 10
c) 15
d) 20

Explanation: The prime factorisation of 53240

53240 = 2 × 2 × 2 × 11 × 11 × 11 × 5 = 23 × 113 × 5

Hence, we need to divide 53240 by 5

53240/5 = 10648 is a perfect cube.

8. The value of 43√1000 is:
a) 400
b) 40
c) 10
d) 4

Explanation: 43√1000 = 43√(10×10×10) = 4 × 10 = 40

9. A perfect cube does not end with _____ zeros.
a) 1
b) 2
c) 3
d) 4

Examples: 103 = 1000

203 = 8000

303 = 27000

10. Cube root of 15625 is:
a) 5
b) 15
c) 25
d) 35

Explanation: 15625 = 5 x 5 x 5 x 5 x 5 x 5

3√15625 = 5 × 5 = 25

11. Which of the following is not a perfect cube?
(a) 1
(b) 9
(c) 8
(d) 27

12. The cube of 4 is _______________ .
(a) 12
(b) 8
(c) 4
(d) 64

13. The value of 5³ is __________ .
(a) 125
(b) 15
(c) 10
(d) 75

14. The cube of an even number is always ____________ .
(a) odd number
(b) even number
(c) prime number
(d) none of these

15. The cube of an odd number is always __________ .
(a) odd number
(b) even number
(c) prime number
(d) none of these

16. Each prime factor appears _________ times in its cube?
(a) 2
(b) 3
(c) 1
(d) 4

17. Which of the following is Hardy-Ramanujan Number?
(a) 1724
(b)1725
(c) 1727
(d) 1729

18. By which smallest natural number 392 must be multiplied so as to make the product a perfect cube?
(a) 2
(b) 14
(c) 7
(d) 49

19. The smallest natural number by which 243 must be multiplied to make the product a perfect cube is __________ .
(a) 3
(b) 9
(c) 8
(d) 7

20. The smallest natural number by which 704 must be divided to obtain a perfect cube is
(a) 22
(b) 12
(c) 11
(d) 13

21. The smallest natural number by which 135 must be divided to obtain a perfect cube is
(a) 5
(b) 3
(c) 15
(d) 9

22. Which of the following is not a perfect cube?
(a) 216
(b) 343
(c) 125
(d) 108

23. The expansion of a³ is ___________ .
(a) 3 × a
(b) a+a+a
(c) 3 × 3 × 3
(d) a × a × a

24. What will be the unit digit of the cube of a number ending with 2?
(a) 8
(b) 4
(c) 2
(d) 6

25. What will be the unit digit of the cube of a number ending with 4?
(a) 4
(b) 6
(c) 2
(d) 8

26. What will be the unit digit of the cube of a number ending with 6?
(a) 4
(b) 6
(c) 2
(d) 8

27. A cuboid has dimensions 5cm , 2cm, 5cm .How many such cuboid will be needed to form a cube?
(a) 20
(b) 10
(c) 5
(d) 2

28. How many cuboids of dimensions 15cm, 30cm ,15cm will be needed to form a cube?
(a) 15
(b) 4
(c) 30
(d) 5

29. 729 is the value of _______________ .
(a) 8³
(b) 9³
(c) 6³
(d) 4³

30. Which of the following is a perfect cube?
(a) 125
(b) 135
(c) 145
(d) 115

31. What is the volume of a cube whose edge is 2cm?
(a) 8
(b) 6
(c) 10
(d) 4

32. The symbol for cube root is __________ .

33. The cube root of 512 is ________ .
(a) 8
(b) 32
(c) 16
(d) 2

34. The value of $$\sqrt[3]{343}$$ is ____ .
(a) 8
(b) 7
(c) 6
(d) 3

35. Which of the following is true for any natural number n?
(a) n²>n³
(b) n³>n²
(c) n²=n³
(d) none of these

36. If the volume of a cube is 125 cm3 then what would be the length of its side?
(a) 25
(b) 5
(c) 4
(d) 15

37. What will be the unit digit of the cube root of a number ends with 8?
(a) 2
(b) 8
(c) 4
(d) 6

38. What will be the unit digit of the cube root of a number ends with 2?
(a) 2
(b) 8
(c) 4
(d) 6

39. What will be the unit digit of the cube root of a number ends with 3?
(a) 3
(b) 7
(c) 5
(d) 2

40. What will be the unit digit of the cube root of a number ends with 7?
(a) 3
(b) 7
(c) 6
(d) 5

41. 9 is the cube root of __________ .
(a) 343
(b) 729
(c) 629
(d) 81

42. The number of digits in the cube root of a 6-digit number is _______ .
(a) 3
(b) 2
(c) 4
(d) 6

43. How many digits will be there in the cube root of 46656?
(a) 2
(b) 1
(c) 3
(d) 4

44. How many digits will be there in the cube root of 512?
(a) 1
(b) 2
(c) 3
(d) 4

45. What will be the unit digit of $$\sqrt[3]{15625}$$?
(a) 5
(b) 0
(c) 3
(d) 4

46. How many zeros will be there in the cube root of 27000?
(a) 3
(b) 0
(c) 1
(d) 2

47. How many zeros will be there in the cube root of 800?
(a) 3
(b) 0
(c) 1
(d) cube root does not exist

48. If 7³=343 , then $$\sqrt[3]{343}$$ = _________ .
(a) 3
(b) 7
(c) 13
(d) 9

49. If 8³ = 512 , then $$\sqrt[3]{512}$$ = __________ .
(a) 3
(b) 7
(c) 13
(d) 9

50. What will be the unit digit of $$\sqrt[3]{216}$$?
(a) 3
(b) 6
(c) 4
(d) 2