Question

Q#1:The volume of a cube is 46656 cubic metres.Find the length of each side?

Q#2: which of the following numbers are cubes of negative integers?
(i) -512
(ii) -1296
(iii) -1372
(iv) -2197
(v) -17576

Answer 1

Explanation:

1) To find the cube root of a number prime factorize

46656 = 2*2*2*2*2*2 * 3 * 3 * 3 * 3 * 3 * 3

`\sqrt[3]{46656}=\sqrt[3]{2*2*2*2*2*2*3*3*3*3*3*3} =2*2*3*3 = 36`

Length of each side = 36 m

Q) i) -512 = (-8) * (-8)*(-8)

-512 is a cube number

v) -17576 = (-26) * (-26)*(-26)

-17576 is cube number