Two geometric solids are similar. The dimensions of the larger solid are 3 times larger than the corresponding dimensions of the smaller one...

Question

Given that the volume of the smaller is 12, what is the volume of the larger?

 

1. 36

 

2. 180

 

3. 256

 

4. 324

Answer 1

It's easier than it seems, Emma! Whenever you multiply a dimension by a constant (like 3) then you multiply the volume by that same number. In your case, though, you multiplied three different dimensions by 3, which means you multiplied your original answer by 3 X 3 X 3  =  27.

Since you began with 12, your final answer will equal 12 X 27

Answer 2

The volume multiplier is 3³ = 27, so volume of larger is 324 cubic units.