Q9 of 76 Page 5

Which of the following are cubes of even natural numbers?

216, 512, 729, 1000, 3375, 13824

i) 216 = 23 × 33 = 63


It’s a cube of even natural number.


ii) 512 = 29 = (23)3 = 83


It’s a cube of even natural number.


iii) 729 = 33 × 33 = 93


It’s not a cube of even natural number.


iv) 1000 = 103


It’s a cube of even natural number.


v) 3375 = 33 × 53 = 153


It’s not a cube of even natural number.


vi) 13824 = 22 × 34 × 41


Its not even a cube.


More from this chapter

All 76 →
7

Write the cubes 5 natural numbers of which are multiples of 7 and verity the following:

“The cube of a multiple of 7 is a multiple of 73.

 8

Which of the following are perfect cubes?

(i) 64 (ii) 216


(iii) 243 (iv) 1000


(v) 1728 (vi) 3087


(vii) 4608 (viii) 106480


(ix) 166375 (x) 456533

 10

Which of the following are cubes of odd natural numbers?

125, 343, 1728, 4096, 32768, 6859

 11

What is the smallest number by which the following numbers must be multiplied, so that the products are perfect cubes?

(i) 675 (ii) 1323


(iii) 2560 (iv) 7803


(v) 107811 (vi) 35721