NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1.

Board CBSE
Textbook NCERT
Class Class 8
Subject Maths
Chapter Chapter 7
Chapter Name Cubes and Cube Roots
Exercise Ex 7.1
Number of Questions Solved 4
Category NCERT Solutions

NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1

Question 1.
Which of the following numbers are not perfect cubes?
(i) 216
(ii) 128
(iii) 1000
(iv) 100
(v) 46656
Solution.
(i) 216
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 1

(ii) 128
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 2
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 3

(iii) 1000
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 4

(iv) 100
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 5
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 6

(v) 46656
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 7
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 8

Question 2.
Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.
(i) 243
(ii) 256
(iii) 72
(iv) 675
(v) 100
Solution.
(i) 243
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 9
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 10

(ii) 256
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 11
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 12

(iii) 72
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 13
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 14

(iv) 675
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 15
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 16

(v) 100
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 17
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 18

Question 3.
Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube.
(i) 81
(ii) 128
(iii) 135
(iv) 192
(v) 704
Solution.
(i) 81
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 19
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 20

(ii) 128
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 21
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 22

(iii) 135
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 23
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 24

(iv) 192
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 25
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 26

(v) 704
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 27
NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 28

Question 4.
Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?
Solution.
Volume of a cuboid = 5 x 2 x 5 \({ cm }^{ 3 }\).
Since there is only one 2 and only two 5’s in the prime factorization, so, we need 2 x 2 x 5, i.e., 20 to make a perfect cube. Therefore, we need 20 such cuboids to make a cube.

 

We hope the NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1 help you. If you have any query regarding NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots Ex 7.1, drop a comment below and we will get back to you at the earliest.