The one's digit of the cube of 23 is

1

(a)

3

(b)

6

(c)

7

The cube of 0.08 is

1

(a)

0.000512

(b)

0.0512

(c)

0.512

(d)

5.12

Which of the following is the cube of an even natural number?

1

(a)

1331

(b)

4913

(c)

3375

(d)

1728

If the digit in ones place of a number is 3, then the ending of its cube will be:

1

(a)

3

(b)

6

(c)

7

(d)

9

If the digit in ones place of number is 6, then its cube will end with the digits:

1

(a)

6

(b)

3

(c)

2

(d)

none of these.

(1.2)³ = ______

1

(a)

1.728

The cube root of a number x is denoted by ______

1

(a)

\(\sqrt [ 3 ]{ x } \) or x^1/3.

The least number by which 250 is multiplied to make it a perfect cube is _____

1

(a)

4

The least number by which 72 is divided to make it a perfect cube is _____

1

(a)

9

Cube of a number ending in 7 will end in the digit ______

1

(a)

3

Cube of any odd number is even.

1

(a) True

(b) False

A perfect cube does not end with two zeroes.

1

(a) True

(b) False

If square of a number ends with 5, then its cube ends with 25.

1

(a) True

(b) False

There is no perfect cube which ends with 8.

1

(a) True

(b) False

The cube of a two digits number may be a three digits number.

1

(a) True

(b) False

Which of the following is a perfect cube?
10,00,00, 225, 343, 270000

1

(a)

343

Is 2744 a perfect cube?

1

(a)

Hardy-Ramanujan number 1729 is the smallest Hardy-Ramanujan number. There are infinitely many such numbers. Few are 4104 (2,16; 9,15), 13832 (18, 20; 2, 24). Check it with the numbers given in the brackets.

1

(a)

Which of the following are the cubes of odd numbers?
(a) 1331
(b) 4096
(c) 5832
(d) 8000
(e) 3375
(f) 4913

1

(a)

Which of the following are the cubes of even numbers?
(a) 32768
(b) 2744
(c) 2197
(d) 42875
(e) 132651
(f) 21952

1

(a)

If the volume of a cube is 729 cm³, then find the length of its side.

3

(a)

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

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 3375

3

(a)

Evaluate {5²+(12²)^1/2}³

5

(a)

Show that 46656 is a perfect cube.

5

(a)