1. Warm UP Name the base, Name the figure
One square base; square pyramid
Two pentagon bases, pentagonal prism
Rectangular base, rectangular prism
Two triangular bases, triangular prism

2. Area, Surface Area, and Volume
Review
Quiz Tomorrow!

3. Additional Example 1: Finding the Perimeter of a Polygon
Find the perimeter.
25 cm
25 cm
15 cm
P =
Use the side lengths.
P = 65
Add.
The perimeter of the triangle is 65 cm.

4. The perimeter of the rectangle is 64 ft.
Additional Example 2: Using Properties of a Rectangle to Find Perimeter
Find the perimeter of a rectangle.
14 ft
18 ft
P = 2l + 2w
Use the formula.
P = (2 · 18) + (2 ·14)
Substitute for l and w.
P =
Multiply.
P = 64
Add.
The perimeter of the rectangle is 64 ft.

5. Additional Example 3A: Finding the Circumference of a Circle
Find the circumference of the circle to the nearest tenth. Use 3.14 for .
C = d
You know the diameter.
12 in.
C  3.14 · 12
Substitute for  and d.
C  37.68
Multiply.
The circumference of the circle is about 37.7 in.

6. Additional Example 3B: Finding the Circumference of a Circle
Find the circumference of the circle to the nearest tenth. Use 3.14 for .
C = 2r
You know the radius.
18 cm
C  2 · 3.14 · 18
Substitute for  and r.
C 
Multiply.
The circumference of the circle is about cm.

7. Additional Example 1A: Finding the Area of a Circle
Find the area of the circle to the nearest tenth. Use 3.14 for .
A = r2
Use the formula.
7 cm
A  3.14 · 72
Substitute 7 for r.
A  3.14 · 49
Evaluate the power.
A 
Multiply.
The area of the circle is about cm2.
The order of operations calls for evaluating the exponents before multiplying.
Remember!

8. Additional Example 1B: Finding the Area of a Circle
Find the area of the circle to the nearest tenth. Use 3.14 for .
A = r2
Use the formula.
18 ft
A  3.14 · 92
Substitute 9 for r.
A  3.14 · 81
Evaluate the power.
A 
Multiply.
The area of the circle is about ft2.

9. Find the area of the circle to the nearest tenth. Use 3.14 for .
Check It Out: Example 1A
Find the area of the circle to the nearest tenth. Use 3.14 for .
A = r2
Use the formula.
10 cm
A  3.14 · 102
Substitute 10 for r.
A  3.14 · 100
Evaluate the power.
A  314
Multiply.
The area of the circle is about 314 cm2.

10. Find the area of the circle to the nearest tenth. Use 3.14 for .
Check It Out: Example 1B
Find the area of the circle to the nearest tenth. Use 3.14 for .
A = r2
Use the formula.
12 ft
A  3.14 · 62
Substitute 6 for r.
A  3.14 · 36
Evaluate the power.
A 
Multiply.
The area of the circle is about ft2.

11. Additional Example 2: Finding the Area of an Irregular Figure
Find the area of the irregular figure. Use 3.14 for .
Step 1: Separate the figure into smaller, familiar figures.
16 m
Step 2: Find the area of each smaller figure.
9 m
Area of the parallelogram:
16 m
A = bh
Use the formula for the area of a parallelogram.
A = 16 • 9
Substitute 16 for b.
Substitute 9 for h.
A = 144

12. Lesson Quiz
Find the perimeter and area of each figure. 1. 2.
31.42 cm, cm2
39.1 ft, 84 ft2

13. Check It Out: Example 1B
Find the volume of the figure to the nearest tenth. Use 3.14 for .
B =  (82)
Area of base
8 cm
= 64 cm2
V = Bh
Volume of a cylinder
15 cm
= (64)(15) = 960
 3,014.4 cm3

14. Check It Out: Example 1C
Find the volume of the figure to the nearest tenth. Use 3.14 for .
B = • 12 • 10 1 2
Area of base
10 ft
= 60 ft2
V = Bh
Volume of a prism
14 ft
= 60(14)
= 840 ft3
12 ft

15. Lesson Quiz
Find the volume of each figure to the nearest tenth. Use 3.14 for .
10 in. 1. 2. 3.
2 in.
12 in.
12 in.
10.7 in.
15 in.
3 in.
8.5 in.
942 in3
306 in3
160.5 in3 .

16. Lesson Quiz for Student Response Systems
1. Identify the volume of the cylinder to the nearest tenth. Use 3.14 for .
A in3 B in3
C in3 D in3 16

17. Lesson Quiz for Student Response Systems
2. Identify the volume of the rectangular prism to the nearest tenth.
A. 338 m3 B. 390 m3
C. 364 m3 D m3 17

18. Check It Out: Example 1A
Find the volume of the figure. Use 3.14 for p.
B = (5 • 7) = 17.5 in2 1 2
7 in. 1 3
V = • 17.5 • 7
V = Bh 1 3
5 in.
7 in.
V  40.8 in3

19. Check It Out: Example 1B
Find the volume of the figure. Use 3.14 for p.
B = (32) = 9 m2
7 m 1 3
V = • 9 • 7
V = Bh 1 3
3 m
V = 21  65.9 m3
Use 3.14 for .

20. Lesson Quiz: Part I
Find the volume of each figure to the nearest tenth. Use 3.14 for p.
1. the triangular pyramid
6.3 m3
2. the cone
78.5 in3

21. Lesson Quiz for Student Response Systems
1. Identify the volume of the triangular pyramid rounded to the nearest tenth.
A. 16 m3
B m3
C. 17 m3
D m3 21

22. Lesson Quiz: Part I
Find the volume of each sphere, both in terms of  and to the nearest tenth. Use 3.14 for p.
1. r = 4 ft
2. d = 6 m
Find the surface area of each sphere, both in terms of  and to the nearest tenth. Use 3.14 for p.
85.3p ft3, ft3
36p m3, m3
3. r = 22 in
1936p in2, in2
4. d = 1.5 mi
2.25p mi2, 7.1 mi2

23. Lesson Quiz for Student Response Systems
1. Find the volume of a sphere with radius 5 ft, both in terms of p and to the nearest tenth. Use 3.14 for p.
A p ft3, ft3
B p ft3, ft3
C p ft3, ft3
D p ft3, ft3 23

24. Lesson Quiz for Student Response Systems
2. Find the volume of a sphere with a diameter of 8 m, both in terms of p and to the nearest tenth. Use 3.14 for p.
A p m3, m3
B p m3, m3
C. 85.3p m3, m3
D. 85.3p m3, m3 24

25. Lesson Quiz
Find the surface area of each figure to the nearest tenth.
100.5 ft2
352 ft2
3. The jewelry box is a composite figure. What is its surface area to the nearest tenth? Use 3.14 for 
117.7 in2

26. Lesson Quiz for Student Response Systems
1. Identify the surface area of the prism with dimensions 16 ft by 9 ft by 5 ft.
A. 588 ft2
B. 538 ft2
C. 288 ft2
D. 240 ft2 26 26

27. Lesson Quiz for Student Response Systems
2. Identify the surface area of the cylinder with diameter 10 cm and height 22 cm to the nearest tenth. Use 3.14 for .
A cm2
B cm2
C cm2
D cm2 27 27 27