Question

If the side x of a cube becomes 11 times of itself,
then its volume increases by
(1) 1330x3 (2) 1331x3
(3) 1321x3 (4) 1320x3

Answer 1

Answer:

1331x3

Step-by-step explanation:

Answer 2

Given:

A cube of side x is increased by 11 times.

To Find:

The factor by which the volume is increased.

Solution:  

1. Consider a cube of side x units.

2. The volume of a cube is given by the formula,

=> Volume of a cube = Side x Side x Side ,

=> Volume of a cube  = x * x * x, 

=> Volume of a cube = x³ units.

3. If the side of the cube is increased by x units then,

=> New side of the cube = 11 * x units

4. The volume of the cube will now become,

=> Volume = 11x * 11x * 11x,

=> Volume = 11*11*11*x*x*x,

=> Volume = 1331*x³ units.

Therefore, the new volume increases by 1331 times. Option B is the correct answer.