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