Prove that if a number is tripled then its cube is 27 times the cube of the given number.

Prove that if a number is doubled, then its cube is eight times the cube of the given number.

Find the cube of rational number 3.1.

Find all 3-digit numbers which are the sums of the cubes of their digits.

Show that 0.001728 is the cube of a rational number.

The sum of two numbers is 9 and their product is 20. Find the sum of their: cubes

State true or false. (i) Cube of any odd number is even. (ii) A perfect cube does not end with two zeros. (iii) If square of a number ends with 5, then its cube ends with 25. (iv) There is no perfect cube which ends with 8. (v) The cube of a two digit number may be a three digit number. (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number.

Divide the number 26244 by the smallest number so that the quotient is a perfect cube. Also fine the cube root of the quotient.

If the sum of two numbers is 5 and the sum of their cubes is 35, find the sum of their squares

Is (27)/(125) a cube of a rational number ?

The sum of two numbers is 4 and their product is 3. Find : (ii) the sum of their cubes.