RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 4. Cubes and Cube Roots

Subject: Maths - Class 8th

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Chapter Exercises

Exercise 4A
Exercise 4B
Exercise 4C
Exercise 4D
CCE Test Paper-4

Exercise 4A

1

Evaluate:

(i) (8)3


(ii) (15)3


(iii) (21)3


(iv) (60)3
2

Evaluate:

(i) (1.2)3


(ii) (3.5)3


(iii) (0.8)3


(iv) (0.05)3
3

Evaluate:

(i) (ii)


(iii) (iv)

4

Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number.

(i) 125 (ii) 243


(iii) 343 (iv) 256


(v) 8000 (vi) 9261


(vii) 324 (viii) 3375
5

Which of the following are the cubes of even numbers?

(i) 216 (ii) 729


(iii) 512 (iv) 3375


(v) 1000
6

Which of the following are the cubes of odd numbers?

(i) 125 (ii) 343


(iii) 1728 (iv) 4096


(v) 9261
7

Find the smallest number by which 1323 must be multiplied so that the product is a perfect cube.
8

Find the smallest number by which 2560 must be multiples so that the product is a perfect cube.
9

What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?
10

Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.

Exercise 4B

1

Find the value of each of the following using the short-cut method:

(25)3
2

Find the value of each of the following using the short-cut method:

(47)3
3

Find the value of each of the following using the short-cut method:

(68)3
4

Find the value of each of the following using the short-cut method:

(84)3

Exercise 4C

1

Evaluate:
2

Evaluate:
3

Evaluate:
4

Evaluate:
5

Evaluate:
6

Evaluate:
7

Evaluate:
8

Evaluate:
9

Evaluate:
10

Evaluate:
11

Evaluate:
12

Evaluate:
13

Evaluate:
14

Evaluate:
15

Evaluate:
16

Evaluate:
17

Evaluate:
18

Evaluate:

Exercise 4D

1

Which of the following number is a perfect cube?
2

Which of the following numbers is a perfect cube?
3

4

5

6

7

By what least number should 648 be multiplied to get a perfect cube?
8

By what least number should 1536 be divided to get a perfect cube?
9

10

CCE Test Paper-4

1

Evaluate

2

Evaluate

3

Evaluate

4

Evaluate
5

6

Which of the following numbers is a perfect cube?
7

8

9

By what least number should 324 be multiplied to get a perfect cube?
10

51

Which of the following is a cube of an odd number?
5

Fill in the blanks.

(i) =


(ii)


(iii)


(iv) (0.5)3 = ____