Evaluate the following:

(i)

(ii)

Prove that if a number is trebled then its cube is 27 time the cube of the given number.

Find the volume of a cube whose surface area is 384m².

Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the numbers.

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also, find the cube root of the quotient so obtained.