Cubes and Cube Roots| Worksheet Solutions| Class 8

Worksheet solutions for chapter: Cubes and Cube Roots for class 8 are provided below.

(1) Which of the following number is not a perfect cube?

(i) 172 (ii) 343

Ans-

(i)172

(ii) 343

(2) Find the smallest number by which 126 must be multiplied to obtain a perfect cube.

Ans-

(3) Find the smallest numbers by which 432 must be divided to obtain a perfect cube.

Ans-

(4) Find the cube root of 32768 by prime factorisation.

Ans-

(5) Guess the cube root of 97336.

Ans-

(6) State true or false.

(i) Cube of 1 is 1.

(ii) Cube of any even number is even.

(iii) A perfect cube has prime factor in triplets.

Ans-

(i) Cube of 1 is 1.   True

(ii) Cube of any even number is even.        True

(iii) A perfect cube has prime factor in triplets.      True

Choose the correct answer.

 

(7) Hardy – Ramanujan Number is

(i) 1728

(ii) 1727

(iii) 1729

Ans-

(iii) 1729 √

 

(8) What is the number whose cube and cube roots are same?

(i)2

 (ii)3

(iii)1

Ans-

(iii)1 √

 

(9) How many perfect cubes are there from 1 to 1000?

(i) 100

(ii) 10

(iii) 0

Ans-

(ii) 10  √

 

(10) Guess cube root of the number 6859.

Ans-

Helping Topics

Cubes and Cube Roots

NCERT Solutions Class 8