This document contains notes from a math class on similar solids. It defines similar solids as two solids of the same type that have equal ratios, known as a scale factor. It then states the Similar Solids Theorem: if two similar solids have a scale factor of a:b, their corresponding areas have a ratio of a2:b2 and their corresponding volumes have a ratio of a3:b3. Examples of homework problems involving similar solids are listed.

1. 12.7 Similar Solids
HW pg. 850 #4­22 evens
April 23, 2015
Bellwork 1. If the earth has a diameter of 12,756.3 km, what is the
volume of the western hemisphere?
2. If the surface area of a sphere is about 1,017.876 cm 2,
what is the radius of the sphere?
3. A beach ball has a radius of 20 inches. If the white sections were
removed from the beach ball, what would the remaining volume be?
(assume all sections are equal in size)
5.43 X 1011
9 = r
22,340.2 = V

2. 12.7 Similar Solids
HW pg. 850 #4­22 evens
April 23, 2015
12.7 Similar Solids
Def: 2 same type solids w/ = ratios (scale factor)

3. 12.7 Similar Solids
HW pg. 850 #4­22 evens
April 23, 2015
Similar Solids Theorem: If 2 similar solids have a scale factor of a:b, then
corresponding areas have ratio of a2:b2 and
corresponding volumes have ratio of a3:b3.

4. 12.7 Similar Solids
HW pg. 850 #4­22 evens
April 23, 2015

5. 12.7 Similar Solids
HW pg. 850 #4­22 evens
April 23, 2015
12.7 HW pg. 850 #4­22 evens