Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.

3

(a)

Find the cube root of 614125 through estimation.

3

(a)

Using prime factorisation, find the cube root of 5832.

3

(a)

Find the cube of \(\left( 2+\frac { 3 }{ 5 } \right) \).

3

(a)

Is 1372 a perfect cube? If not, find the smallest natural number by which 1372 must be multiplied so that the product is a perfect cube.

3

(a)

Is 31944 a perfect cube? If not then by which smallest natural number should 31944 be divided so that the quotient is a perfect cube?

3

(a)

Show that -1728 is a perfect cube. Also, find the number whose cube is -1728.

3

(a)

Is 216 a perfect cube? What is the number whose cube is 216?

3

(a)

The volume of a cubical box is 64 cm³, What is its side?

3

(a)

If the surface area of a cube is 486 cm². Find its volume

3

(a)

Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube

3

(a)

By prime factorisation, find the cube roots of 74088

3

(a)

By prime factorisation, find the cube roots of 1000

3

(a)

By prime factorisation, find the cube roots of 1331

3

(a)

Find the cube root of 13824 by prime factorisation method.

3

(a)