Question

A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?

Answer 1

The volume of the new tent will be 27/8 times the volume of the original tent.

Explanation:

First, you take the ratio of 6/4 and simplify it down to 3/2.

Next, you take the ratio, and have to get its volume. Volume is just one length CUBED, so you cube both sides.

Then, after you cube the simplified fraction, you get 27/8.