Which of the Following Are Cubes Of: an Odd Number 216, 729, 3375, 8000, 125, 343, 4096 and 9261. - Mathematics

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Sum

Which of the following are cubes of an odd number

216, 729, 3375, 8000, 125, 343, 4096 and 9261.

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Solution

∵ 216 = 2 x 2 x 2 x 3 x 3 x 3

2 216
2 108
2 54
3 27
3 9
3 3
  1

 

 

 

 

 

 

 

= (2)3 x (3)3
= (6)3

∵ 729 = 3 x 3 x 3 x 3 x 3 x 3

3 729
3 243
3 81
3 27
3 9
3 3
  1

 

 

 

 

 

 

 

= (3)3 x (3)3
= (9)3

∵ 3375 = 5 x 5 x 5 x 3 x 3 x 3

5 3375
5 675
5 135
3 27
3 9
3 3
  1

 

 

 

 

 

 

 

= (5)3 x (3)3
= (15)3

∵ 8000 = 20 x 20 x 20
= (20)3

5 125
5 25
5 5
  1

 

 

 

 

125 = 5 x 5 x 5
= (5)3

∵ 343 = 7 x 7 x 7
= (7)3

7 343
7 49
7 7
  1

 

 

 

 

∵ 4096 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

2 4096
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
  1

 

 

 

 

 

 

 

 

 

 

 

 

 

= (2)3 x (2)3 x (2)3 x (2)3
=(16)3

Cubes of an odd number are 729, 3375, 125, 343, 9261.

  Is there an error in this question or solution?
Chapter 4: Cubes and Cube Roots - Exercise 4 (A) [Page 48]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 4 Cubes and Cube Roots
Exercise 4 (A) | Q 6.2 | Page 48
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