Class 8 Exam  >  Class 8 Notes  >  Mathematics (Maths) Class 8  >  Short Question Answer: Cubes & Cubes Roots

Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots

Q1:Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots
Ans:
Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots

Q2: Find the cubes of the following:
(a) 0.3
(b) 0.8
(c) (0.001)
(d) (2 – 0.3)

Ans:

(a) (0.3)3 = 0.3 × 0.3 × 0.3 = 0.027

(b) (0.8)3 = 0.8 × 0.8 × 0.8 = 0.512

(c) (0.001)3 = (0.001) × (0.001) × (0.001) = 0.000000001

(d) (2 – 0.3)3 = (1.7)3 = 1.7 × 1.7 × 1.7 = 4.913


Q3: Find the cube roots of
(i) Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots
(ii) -0.729
Ans:

Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots
Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots

Q4:  135 a perfect cube?

AnsPrime factorisation of 135, is:

135 = 3 × 3 × 3 × 5

We find that on making triplet, the number 5 does not make a group of the triplet.

Hence, 135 is not a perfect cube.

Q5:  Find the smallest number by which 1323 may be multiplied so that the product is a perfect cube.
Ans: Prime factorisation of 1323, is:
1323 = 3 × 3 × 3 × 7 × 7
Since we required one more 7 to make a triplet of 7.


Q6: Express the following numbers as the sum of odd numbers using the given pattern
Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots
Ans:
Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots

Q7: Observe the following pattern and complete the blank spaces.
13 = 1
Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots
Ans:

Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots

 Class 8 Maths Chapter 6 Question Answers - Cubes and Cube Roots

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