Question

A rectangular solid has dimensions (a + 2) by (a + 4) by (3a). Find its volume. ​

Answer 1

V = 3a³ + 18a² + 24a

Explanation:

The volume (V) is the product of the 3 dimensions, that is

V = 3a(a + 2)(a + 4) ← expand factors using FOIL

= 3a(a² + 6a + 8) ← distribute parenthesis by 3a

= 3a³ + 18a² + 24a