1. Areas and Volumes of Similar Solids
Section 12-5
Areas and Volumes of Similar Solids

2. Similar solids
Solids that have the same shape but not necessarily the same size.

3. How to tell if solids are similar:
Determine whether the bases are similar.
See if corresponding lengths are proportional.
Think Scale factor!

4. Questions: Are all spheres similar? Yes
Are all right cylinders similar?
Are all cubes similar?
Yes No
Yes

5. Theorem 12-11 If the scale factor of two solids is , then
The ratio of corresponding perimeters is
The ratio of the base areas, of the lateral areas, and of the total areas is
The ratio of the volumes is