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Section 12.7 Explore Similar Solids

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Section 12.7

Explore Similar Solids

Homework

• none

Vocabulary

• Similar Solids – two solids with equal ratios of corresponding linear measures

Page 4: Section 12.7 Explore Similar Solids. Homework none

Theorem 12.13: Similar Solids Theorem

r2=

s2=

b2,

v2=

If two similar solids have ascale factor of a:b, thencorresponding areas havea ratio of a2:b2, andcorresponding volumeshave a ratio of a3:b3.

Page 5: Section 12.7 Explore Similar Solids. Homework none

Identify similar solids

Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right.

a.b.

Page 6: Section 12.7 Explore Similar Solids. Homework none

Use the scale factor of similar solids

Packaging

The cans shown are similar with a scale factor of 87:100. Find the surface area and volume of the larger can.

Page 7: Section 12.7 Explore Similar Solids. Homework none

Find the scale factor

The pyramids are similar. Pyramid P has a volume of 1000 cubic inches and Pyramid Q has a volume of 216 cubic inches. Find the scale factor of Pyramid P to Pyramid Q.

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