1.Right rectangular prism, side lengths 8 in., 5 in., and 10 in.

1
Find the surface area and volume of each solid.
1. Right rectangular prism, side lengths 8 in., 5
in., and 10 in.
2. Right cone, radius 3 m, height 4 m
2
Find the surface area and volume of each solid.
3. Sphere, radius 7.3 ft
3
EXAMPLE 1
Identify similar solids
4
EXAMPLE 1
Identify similar solids
SOLUTION
5
for Example 1
GUIDED PRACTICE
Tell whether the pair of right solids is similar.
Explain your reasoning.
6
for Example 1
GUIDED PRACTICE
Tell whether the pair of right solids is similar.
Explain your reasoning.
7
EXAMPLE 2
Use the scale factor of similar solids
Packaging
8
EXAMPLE 2
Use the scale factor of similar solids
Surface area of II 68.49
Volume of II 42.93
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EXAMPLE 2
Use the scale factor of similar solids
SOLUTION
Use Theorem 12.13 to write and solve two
proportions.
10
EXAMPLE 3
Find the scale factor
11
EXAMPLE 3
Find the scale factor
SOLUTION
Use Theorem 12.13 to find the ratio of the two
volumes.
Write ratio of volumes.
Find cube roots.
Simplify.
12
EXAMPLE 4
Checking Solutions of a Linear Inequality
Consumer Economics
A store sells balls of yarn in two different
sizes. The diameter of the larger ball is twice
the diameter of the smaller ball. If the balls of
yarn cost 7.50 and 1.50, respectively, which
ball of yarn is the better buy?
STEP 1
Compute the ratio of volumes using the diameters.
13
EXAMPLE 4
Checking Solutions of a Linear Inequality
STEP 2
Find the ratio of costs.
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EXAMPLE 4
Checking Solutions of a Linear Inequality
STEP 3
Compare the ratios in Steps 1 and 2.
If the ratios were the same, neither ball would
be a better buy. Comparing the smaller ball to
the larger one, the price increase is less than
the volume increase. So, you get more yarn for
your dollar if you buy the larger ball of yarn.
15
for Examples 2, 3, and 4
GUIDED PRACTICE
16
for Examples 2, 3, and 4
GUIDED PRACTICE