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

Sum

Which of the following are cubes of an odd number

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

#### 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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