What happens to the volume of a rectangular prism if one of its side lengths is tripled?
If one of the side lengths of a rectangular prism is tripled, the volume of the prism will also change. The formula to calculate the volume of a rectangular prism is given by:
Volume = length × width × height
Let's assume that the original side lengths of the rectangular prism are "a", "b", and "c". If one of these side lengths, let's say "a", is tripled, the new side length becomes "3a". The volume of the new rectangular prism can be expressed as:
New Volume = (3a) × b × c
By simplifying this expression, we get:
New Volume = 3(ab) × c
So, when one of the side lengths of a rectangular prism is tripled, the new volume will increase by a factor of 3.