If the length of each side of a cube is increased to three times its initial length, then its volume will become times its initial volume.

Correct option is A

Given:

Length of cube is increased to three times

Formula Used:

Volume of cube =$$a^3$$​​

Solution:

Let the initial side of cube be x

Volume = $$x^3$$​​

Now new length is 3x

New volume = $$(3x)^3 =27x^3$$​​

So the new volume is =$$\frac{27x^3}{x^3}$$​ = 27 times the old volume