You are told that 1331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

5

(a)

Evaluate \(\sqrt [ 3 ]{ 27 } +\sqrt [ 3 ]{ 0.008 } +\sqrt [ 3 ]{ 0.064 } \).

5

(a)

Evaluate {5²+(12²)^1/2}³

5

(a)

Is 9720 a perfect cube? If not, find the smallest number by which, it should be divided to get a perfect cube.

5

(a)

What is the smallest number by which 392 may be divided so that the quotient is a perfect cube?

5

(a)

Find the cube root of each of the following:
0.000001

5

(a)

Find the sum of cubes of first four natural numbers.

5

(a)

Find the volume of a cube, whose total surface area is 486 cm².

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)

Find the cube root of 2197.

5

(a)