Selina Class 8 ICSE Solutions Mathematics : Chapter 4- Cubes and Cube-Roots

Class 8: Maths Chapter 4 solutions. Complete Class 8 Maths Chapter 4 Notes.

Selina Class 8 ICSE Solutions Mathematics : Chapter 4- Cubes and Cube-Roots

Selina 8th Maths Chapter 4, Class 8 Maths Chapter 4 solutions

Exercise 4A

Question 1.
Find the cube of :
(i) 7
(ii) 11
(iii) 16
(iv) 23
(v) 31
(vi) 42
(vii) 54
Solution:

Question 2.
Find which of the following are perfect cubes :
(i) 243
(ii) 588
(iii) 1331
(iv) 24000
(v) 1728
(vi) 1938
Solution:

Question 3.
Find the cubes of :
(i) 2.1
(ii) 0.4
(iii) 1.6
(iv) 2.5
(v) 0.12
(vi) 0.02
(vii) 0.8
Solution:

Question 4.
Find the cubes of :
(i) \frac { 3 }{ 7 }
(ii) \frac { 8 }{ 9 }
(iii) \frac { 10 }{ 13 }
(iv) 1\frac { 2 }{ 7 }
(v) 2\frac { 1 }{ 2 }
Solution:

Question 5.
Find the cubes of :
(i) -3
(ii) -7
(iii) -12
(iv) -18
(v) -25
(vi) -30
(vii) -50
Solution:

Question 6.
Which of the following are cubes of:
(i) an even number
(ii) an odd number
216, 729, 3375, 8000, 125, 343, 4096 and 9261.
Solution:

Question 7.
Find the least number by which 1323 must be multiplied so that the product is a perfect cube.
Solution:

Question 8.
Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.
Solution:

Question 9.
Find the smallest number by which 27783 be multiplied to get a perfect square number.
Solution:

Question 10.
With what least number must 8640 be divided so that the quotient is a perfect cube?
Solution:

Question 11.
Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
Solution:

Exercise 4B

Question 1.
Find the cube-roots of :
(i) 64
(ii) 343
(iii) 729
(iv) 1728
(v) 9261
(vi) 4096
(vii) 8000
(viii) 3375
Solution:

Question 2.
Find the cube-roots of :
(i) \frac { 27 }{ 64 }
(ii) \frac { 125 }{ 216 }
(iii) \frac { 343 }{ 512 }
(iv) 64 x 729
(v) 64 x 27
(vi) 729 x 8000
(vii) 3375 x 512
Solution:

Question 3.
Find the cube-roots of :
(i) -216
(ii) -512
(iii) -1331
(iv) \frac { -27 }{ 125 }
(v) \frac { -64 }{ 343 }
(vi) \frac { -512 }{ 343 }
(vii) -2197
(viii) -5832
(ix) -2744000
Solution:

Question 4.
Find the cube-roots of :
(i) 2.744
(ii) 9.261
(iii) 0.000027
(iv) -0.512
(v) -15.625
(vi) -125 x 1000
Solution:

Question 5.
Find the smallest number by which 26244 may be divided so that the quotient is a perfect cube.
Solution:

Question 6.
What is the least number by which 30375 should be multiplied to get a perfect cube?
Solution:

Question 7.
Find the cube-roots of :
(i) 700 x 2 x 49 x 5
(ii) -216 x 1728
(iii) -64 x -125
(iv) \frac { -27 }{ 343 }
(v) \frac { 729 }{ -1331 }
(vi) 250.047
(vii) -175616
Solution:

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Selina Class 8 ICSE Solutions Mathematics : Chapter 4- Cubes and Cube-Roots

Download PDF: Selina Class 8 ICSE Solutions Mathematics : Chapter 4- Cubes and Cube-Roots PDF

Chapterwise Selina Publishers ICSE Solutions for Class 8 Mathematics :

• Chapter 1- Rational Numbers
• Chapter 2- Exponents (Powers)
• Chapter 3- Squares and Square Roots
• Chapter 4- Cubes and Cube-Roots
• Chapter 5- Playing with Number
• Chapter 6- Sets
• Chapter 7- Percent and Percentage
• Chapter 8- Profit, Loss and Discount
• Chapter 9- Simple and Compound Interest
• Chapter 10- Direct and Inverse Variations
• Chapter 11- Algebraic Expressions
• Chapter 12- Algebraic Identities
• Chapter 13- Factorisation
• Chapter 14- Linear Equations in one Variable
• Chapter 15- Linear Inequations
• Chapter 16- Understanding Shapes
• Chapter 17- Special Types of Quadrilaterals
• Chapter 18- Constructions
• Chapter 19- Representing 3-D in 2-D
• Chapter 20- Area of Trapezium and a Polygon
• Chapter 21- Surface Area, Volume and Capacity
• Chapter 22- Data Handling
• Chapter 23- Probability

About Selina Publishers ICSE

Selina Publishers has been serving the students since 1976 and is one of the quality ICSE school textbooks publication houses. Mathematics and Science books for classes 6-10 form the core of our business, apart from certain English and Hindi literature as well as a few primary books. All these books are based upon the syllabus published by the Council for the I.C.S.E. Examinations, New Delhi. The textbooks are composed by a panel of subject experts and vetted by teachers practising in ICSE schools all over the country. Continuous efforts are made in complying with the standards and ensuring lucidity and clarity in content, which makes them stand tall in the industry.