A cube has side length a. The side lengths are decreased to 30% of their original size. Write an expression in simplest form for the volume of the cube in terms of a.

Volume V = 0.027a^3

Step-by-step explanation:

Let a represent the length of the side length of the cube.

a. The side lengths are decreased to 30% of their original size;

l = 30% of a

l = 0.3a ... 1

The volume of a cube can be expressed as;

V = l * l * l

V = l^3 ... 2

Where;

l = side length

Substituting the value of l into equation 2;

V = l^3 = (0.3a) ^3

V = 0.027a^3

Volume V = 0.027a^3