Find the sum of cubes of first four natural numbers.

5

(a)

Show that 0.001728 is the cube of a rational number. Find that rational number whose cube is 0.0017288.

5

(a)

Find the cube root of 17576 through estimation

5

(a)

Is 42592 a perfect cube? If not, then by which smallest number should 42592 be divided so that quotient is a perfect cube?

5

(a)

Which of the following are perfect cube?
i) 8000
ii)9000

5

(a)

Show that 46656 is a perfect cube.

5

(a)

Find the smallest number by which 704 must be divided to obtain a perfect cube.

5

(a)

Find the cube root of 2197.

5

(a)

Show that 384 is not a perfect cube

5

(a)

What is the smallest number by which 648 must be multiplied so that the product is a perfect cube?

5

(a)