Question

A cube has side length a. The side lengths are decreased to 20% of their original size. Write an expression in simplest form for the volume of the new cube in terms of a.

Answer 1

The volume of the new cube, with side lengths decreased to 20% of their original size, can be expressed as 0.008a^3.

Step-by-step explanation:

The volume of a cube is given by the formula V = a^3, where a is the side length of the cube. If we decrease the side lengths of the cube to 20% of their original size, the new side length will be 0.2a. Therefore, the volume of the new cube can be expressed as (0.2a)^3 = 0.008a^3.

Answer 2

side lengths are decreased to 20% of their original size - it means that the new side is 80% of a. Let's call it side b.
b=.8a
V = (.8a)^3 = .512a^3