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MCQ for Class 8 Mathematics Chapter 7 Cubes and Cube Roots
Class 8 Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Chapter 7 Cubes and Cube Roots
Chapter 7 Cubes and Cube Roots MCQ Questions Class 8 Mathematics with Answers
Question: The value of 3√343 X 3√−64 is
a) –28
b) –18
c) 28
d) 18
Answer: –28
Question: The length of each side of the cubical box is 2.4 m. Its volume is
a) 13.824 cu m
b) 13.824 cu cm
c) 13.824 cm2
d) None of these
Answer: 13.824 cu m
Question: The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, the difference of the numbers is
a) 3
b) 6
c) 4
d) none
Answer: 3
Question: The square of a natural number subtracted from its cube is 48. The number is
a) 4
b) 6
c) 5
d) 8
Answer: 4
Question: Which of the following numbers are perfect cubes?
a) 343
b) 5324
c) 108
d) 243
Answer: 343
Question: Which of the following are the cubes of even natural numbers?
a) 13824
b) 3375
c) 729
d) 1331
Answer: 13824
Question: Which of the following are the cubes of odd natural numbers?
a) 6859
b) 32768
c) 4096
d) 1728
Answer: 6859
Question: The cube root of 0.001728 is
a) 0.12
b) 12
c) 1.2
d) none
Answer: 0.12
Question: Choose the correct statement
a) All the above
b) Cubes of even natural numbers are even
c) Cubes of negative integers are negative
d) Cubes of odd natural numbers are odd
Answer: All the above
Question: If 72K is a perfect cube, then the value of K is
a) 3
b) 1
c) 2
d) 4
Answer: 3
Question: The cube root of 272 is
a) 9
b) 27
c) 3
d) none
Answer: 9
Question: The cube of 0.9 is
a) 0.729
b) none
c) 72.9
d) 7.29
Answer: 0.729
Question: The number which is not a perfect cube among the following is
a) 243
b) 1331
c) 216
d) 512
Answer: 243
Question: The smallest number by which 2560 must be multiplied so that the product is a perfect cube is
a) 25
b) 15
c) 5
d) 10
Answer: 25
Question: The smallest number by which 8788 must be divided so that the quotient is a perfect cube is
a) 4
b) 16
c) 12
d) 32
Answer: 4
Question: The cube root of 1.331 is
a) 1.1
b) 0.011
c) 0.11
d) 11
Answer: 1.1
Question: Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one to that of the other is
a) 1 : 9
b) 1 : 3
c) 1 : 6
d) 1 : 18
Answer: 1 : 9
Question: By what least number must 21600 be multiplied to make it a perfect cube?
a) 10
b) 60
c) 6
d) 30
Answer: 10
Question: The smallest number by which 392 must be multiplied so that the product is a perfect cube is
a) 7
b) 3
c) 9
d) 5
Answer: 7
Question: How many small cubes with edges of 10 cm can be just accommodated in a cubical box of 1 m edge?
a) 1000
b) 10
c) 100
d) 10000
Answer: 1000
Cubes and Cube Roots
1. The cube of a number is that number raised to the power 3.
2. A natural number is said to be a perfect cube if it is the cube of some natural number
3. Cubes of all even natural numbers are even
4. Cubes of all odd natural numbers are odd
5. Cubes of negative integers are negative
6. The cube root of a number x is that number whose cube gives x. It is denoted by 3√x
7. For any positive integer x, we have 3√-x = -3√x
8. For any integers a and b, we have
(i) -3√ab = 3√a X 3√x
1. The value of 3√343 x 3√-64 is
(A) 28
(B) –28
(C) 18
(D) –18
Answer : B
2. The length of each side of the cubical box is 2.4 m. Its volume is
(A) 13.824 cu m
(B) 13.824 cu cm
(C) 13.824 m2
(D) 13.824 cm2
Answer : A
3. The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, the difference of the numbers is
(A) 3
(B) 4
(C) 6
(D) none
Answer : A
4. The square of a natural number subtracted from its cube is 48. The number is
(A) 6
(B) 5
(C) 4
(D) 8
Answer : C
5. Which of the following numbers are perfect cubes?
(A) 108
(B) 343
(C) 243
(D) 5324
Answer : B
6. Which of the following are the cubes of even natural numbers?
(A) 729
(B) 3375
(C) 1331
(D) 13824
Answer : D
7. Which of the following are the cubes of odd natural numbers?
(A) 32768
(B) 4096
(C) 6859
(D) 1728
Answer : C
8. The cube root of 0.001728 is
(A) 0.12
(B) 1.2
(C) 12
(D) none
Answer : A
9. √2744 ÷ 3√0.008 =________
(A) 70
(B) 1.2
(C) 12.
(D) None
Answer : B
10. Choose the correct statement
(A) Cubes of odd natural numbers are odd
(B) Cubes of even natural numbers are even
(C) Cubes of negative integers are negative
(D) All the above
Answer : D
11. If 72K is a perfect cube, then the value of K is
(A) 1
(B) 2
(C) 3
(D) 4
Answer : C
12. The cube root of 272 is
(A) 27
(B) 9
(C) 3
(D) none
Answer : B
13. If a3 = b3 + c3 + d3, the least value of ‘a’ is
(A) 6
(B) 9
(C) 3
(D) none
Answer : A
14. The cube of 0.9 is
(A) 72.9
(B) 0.729
(C) 7.29
(D) none
Answer : B
15. The number which is not a perfect cube among the following is
(A) 1331
(B) 216
(C) 243
(D) 512
Answer : C
16. The smallest number by which 2560 must be multiplied so that the product is a perfect cube is
(A) 5
(B) 25
(C) 10
(D) 15
Answer : B
17. The smallest number by which 8788 must be divided so that the quotient is a perfect cube is
(A) 4
(B) 12
(C) 16
(D) 32
Answer : A
18. The cube root of 1.331 is
(A) 0.11
(B) 0.011
(C) 11
(D) 1.1
Answer : D
19. The close root of -512/729 is
(A) 4/7
(B) 8/9
(C) -8/9
(D) none
Answer : C
20. Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one to that of the other is
(A) 1 : 3
(B) 1 : 6
(C) 1 : 9
(D) 1 : 18
Answer : C
21. By what least number must 21600 be multiplied to make it a perfect cube?
(A) 6
(B) 10
(C) 30
(D) 60
Answer : B
22. The volume of a cube whose surface area is 150 m2 is
(A) 25 m3
(B) 75 m3
(C) 125 m3
(D) 27 m3
Answer : C
23. The value of (4096)(1/√3)(√2)2 is
(A) 8
(B) 16
(C) 24
(D) 32
Answer : B
24. The smallest number by which 392 must be multiplied so that the product is a perfect cube is
(A) 3
(B) 5
(C) 7
(D) 9
Answer : C
25. How many small cubes with edges of 10 cm can be just accommodated in a cubical box of 1 m edge?
(A) 10
(B) 100
(C) 1000
(D) 10000
Answer : C
26. What is the smallest number by which 3600 can be divided to make it a perfect cube?
(A) 9
(B) 50
(C) 300
(D) 450
Answer : D
27. The volume of cubical box is 216 m3. The length of the longest rod that can be placed in the box is
(A) 6 m
(B) 6√2 m
(C) 6√3 m
(D) 12 m
Answer : C
28. Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. The greatest number is
(A) 28
(B) 14
(C) 42
(D) 7
Answer : C
29. The value of
(A) 1/4
(B) 1/8
(C) 1/2
(D) 1/16
Answer : C
30. The volume of a cubical box is 32.768 cubic meters. The length of one side of the box is
(A) 3.1 m
(B) 3.2 m
(C) 3.3 m
(D) 3.4 m
Answer : B
31. 3√√0.000064 equals
(A) 0.02
(B) 0.2
(C) 2.0
(D) 3.0
Answer : B
32. The value of 453 – 653 – 203 is
(A) 175500
(B) – 175500
(C) 170000
(D) – 170000
Answer : B
33. If 3√2744 ÷ 3√0.008 = x , then the value of x
(A) 70
(B) – 70
(C) 14
(D) – 14
Answer : B
34. The cube root of
(A) 4/3
(B) -(4/3)
(C) 2/3
(D) -(3/2)
Answer : D
35. The cube of a two-digit number may not have
(A) Four digits
(B) Five digits
(C) Six digits
(D) Seven digits
Answer : D
36. The value of
(A) 4.5
(B) 5.5
(C) 6.5
(D) 7.5
Answer : D
37. The cube root of (36)24/(24)/36 is
(A) (3/32)
(B) (3/32)2
(C) (3/32)3
(D) (3/32)4
Answer : D
38. The value of 3√81 + 3√192 + 3√375 / 3√24 is
(A) 0
(B) 1
(C) 2
(D) 3
Answer : C
39. The cube of an odd natural number, is
(A) Even
(B) Odd
(C) Even or odd
(D) Can’t say
Answer : B
40. Which of the following numbers is not a perfect cube?
(A) 46656
(B) 13825
(C) 3375
(D) 74088
Answer : B
41. If 36a4 = a6, then a3 is equal to
(A) (1/6)a6
(B) 6a4
(C) (1/6)a2
(D) 6a2
Answer : D
42. The value of
(A) 3
(B) 10/3
(C) 2/3
(D) 11/3
Answer : B
Put a tick mark(√) on the correct answer :
Question. Which of the following numbers must be subtracted from 345 to get a perfect cube ?
(i) 121
(ii) 131
(iii) 2
(iv) 24
Question. Which of the following numbers is a perfect cube ?
(i) 343
(ii) 443
(iii) 543
(iv) 643
Question. Which of the following numbers must be multiplied to 392 to get a perfect cube ?
(i) 2
(ii) 3
(iii) 4
(iv) 7
Question. By which of the following numbers 10648 must be divided to get a perfect cube ?
(i) 2
(ii) 4
(iii) 5
(iv) 7
Question. What is the volume of a cube whose each side is 4cm ?
(i) 24cm3
(ii) 48 cm3
(iii) 64 cm3
(iv) 125 cm3
| CBSE Class 8 Mathematics MCQs bank Set A |
Important Practice Resources for Class 8 Mathematics
MCQs for Chapter 7 Cubes and Cube Roots Mathematics Class 8
Students can use these MCQs for Chapter 7 Cubes and Cube Roots to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for Class 8 Mathematics released by CBSE. Our expert teachers suggest that you should practice daily and solving these objective questions of Chapter 7 Cubes and Cube Roots to understand the important concepts and better marks in your school tests.
Chapter 7 Cubes and Cube Roots NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for Class 8. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Chapter 7 Cubes and Cube Roots, you should also refer to our NCERT solutions for Class 8 Mathematics created by our team.
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