# S.chand books class 8 maths solution chapter cube and cube roots

## EXERCISE 4 (A)

### Write (T) for True or (F) for false:

(i) The cube root of 8000 is 200.

Sol: False

(ii) Each prime factor appears 3 times in its cube.

Sol: True

(iii) ​ ​.

Sol: False

(iv) For an integer a, ​ ​ is always greater than ​ ​.

Sol: False

(v) The least number by which 72 must be divided to make it a perfect cube is 9.

Sol: True

### Find the cubes of the following numbers.

(i) 8

Sol: 8×8×8

=512

(ii) -15

Sol: (-15)×(-15)×(-15)

= -3375

(iii) 600

Sol:600×600×600

= 216000000

#### Question 3

(i) ​ ​ Sol:  (ii) Sol: =

(iii) ​ Sol: =

#### Question 4

(i) 0.03

Sol: 0.03×0.03×0.03

=

(ii) 1.7

Sol: 1.7×1.7×1.7

=

(iii) ​ -0.008

Sol: -0.008×0.008×0.008

=

### Which of the following numbers are perfect cubes?

65, 128, 243, 512, 900, 1728, 4096

Sol:

### Find the cube root of the following numbers by prime factorization method.

(i) 5832

Sol:

(ii) 91125

Sol:

(iii) ​ -9261

Sol:

(iv) ​ Sol:

(v) ​ Sol:

(vi) ​ Sol:

### Evaluate:

(i) ​ Sol:

(ii) ​ Sol:

(i) 1125

Sol:

(ii) 6912

Sol:

(iii) 47916

Sol:

### Find the smallest number by which each of the following numbers must be divided so that quotient is a perfect cube. Also, find the cube root of the product.

(i) 3584

Sol:

(ii) 1458

Sol:

(iii) 120393

Sol:

#### Question 10

Find the value of :

(i) ​ (ii) ​ (iii) ​ error: Content is protected !! 