Since the toys are similar the bigger toy does not only have 3 times greater height but also 3 times greater depth and width (if the toys are 3-dimensional). So the **volume** of bigger toy is **3*3*3=27 times greater** . If the toys are 2-dimensional you will get that bigger...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

Since the toys are similar the bigger toy does not only have 3 times greater height but also 3 times greater depth and width (if the toys are 3-dimensional). So the **volume** of bigger toy is **3*3*3=27 times greater**. If the toys are 2-dimensional you will get that bigger toy has **3*3=9 times greater surface area**.

In mathematics this is called homothetic transformation and ratio k which is in your case k=3. So for similar 2-dimensional objects with ratio k ratio of their surface area is `k^2` and for 3-dimensional objects ratio of their volumes is `k^3.`

For further explenation see e.g. *Bruce E. Meserve: Fundamental Concepts of Geometry* or one of the links below.