9.4 Volume of Prisms and Cylinders
9.4 Volume of Prisms and Cylinders 9.4 Volume of Prisms and Cylinders
9.4 Exercises Guided Practice Vocabulary Check Based upon the units, tell whether the number is a measure of surface area or volume. 1. 5 ft 3 Practice and Applications Extra Practice See p. 692. Skill Check Homework Help Example 1: Exs. 8–10 Example 2: Exs. 11–18 Example 3: Exs. 27–40 2. 7 yd 2 Candles Find the volume of the candle. 3. 3 m 2 5. 6. 6 cm 7. 8 cm 12 cm 10 cm B ≈ 63.6 cm 2 4. 2 cm 3 Using Unit Cubes Find the number of unit cubes that will fit in the box. Explain your reasoning. 8. 9. 10. 2 3 3 5 4 4 Volume of a Prism Find the volume of the prism. 11. 12. 13. 5 in. Volume of a Cube In Exercises 14–16, you are given the length of each side of a cube. Sketch the cube and find its volume. 14. 3 meters 15. 7 feet 16. 10 centimeters Visualize It! 5 in. 4 in. 2 cm 6 cm 3 cm In Exercises 17 and 18, make a sketch of the solid. Then find its volume. 17. A prism has a square base with 4 meter sides and a height of 7 meters. 12 m 18. A prism has a rectangular base that is 3 feet by 6 feet and a height of 8 feet. 4 m 3 12 cm B ≈ 23.4 cm 2 9 m 9.4 Volume of Prisms and Cylinders 503 2 4
IStudent Help I CLASSZONE.COM HOMEWORK HELP Extra help with problem solving in Exs. 19–21 is at classzone.com Civil Engineering SOO LOCKS The first locks system between Lake Superior and Lake Huron was built around 1797. Today, four locks are available in the Soo Locks system. 504 Chapter 9 Surface Area and Volume Finding Volume Find the volume of the combined prisms. 19. 3 ft 20. 6 in. 21. 2 m 2 in. 5 m 8 ft 1 in. 2 ft 4 in. 2 ft 5 ft Shopping In Exercises 22–24, use the information about the sizes of the cereal boxes shown below. 22. Find the volume of each box of cereal. 23. How many small boxes of cereal do you have to buy to equal the amount of cereal in a large box? 24. Which box gives you the most cereal for your money? Explain. Soo Locks In Exercises 25 and 26, use the information below. Lake Superior is about 22 feet higher than Lake Huron. In order for ships to safely pass from one lake to the other, they must go through one of the four Soo Locks. Lake Huron 22 ft Lake Huron 2 in. 25. Water is added to the MacArthur Lock until the height is increased by 22 feet. To find the amount of water added to the lock, find the volume of a rectangular prism with a length of 800 feet, a width of 80 feet, and a height of 22 feet. 1 in. 8 in. Top View lower gates 80 ft Side View upper gates 800 ft $2.00 $2.00 Not drawn to scale 26. How many gallons of water are added to the MacArthur Lock to raise the ship to the level of Lake Superior? Use the fact that 1 ft 3 ≈ 7.5 gal. Whole Whole Grain Grain Cereal Part of a well balanced breakfast Nutrition Facts Serving Size 1 bowl Serving per container Amount per serving Calories 45 %Daily Value Total Fat 0g Saturated Fat 0g Cholesterol 0mg Sodium 0mg Carbohydrate 2g Dietary Fiber 0g Sugars 0g Protein less than 1g Vitamin A *** Calcium *** Vitamin C *** Iron *** ***** ****************** ****************** 10 in. 2 in. Whole Whole Grain Grain 7 m 10 in. $6.00 Cereal Part of a well balanced breakfast Nutrition Facts Serving Size 1 bowl Serving per container Amount per serving Calories 45 %Daily Value Total Fat 0g Saturated Fat 0g Cholesterol 0mg Sodium 0mg Carbohydrate 2g Dietary Fiber 0g Sugars 0 Protein less than 1g Vitamin A *** Calcium *** Vitamin C *** Iron *** ***** ****************** ****************** 10 m 16 in. 4 in. 4 m Lake Superior Lake Superior
- Page 1 and 2: Goal Find the volumes of prisms and
- Page 3: 502 Chapter 9 Surface Area and Volu
- Page 7 and 8: IStudent Help I CLASSZONE.COM HOMEW
<strong>9.4</strong><br />
Exercises<br />
Guided Practice<br />
Vocabulary Check<br />
Based upon the units, tell whether the number is a measure <strong>of</strong><br />
surface area or volume.<br />
1. 5 ft 3<br />
Practice <strong>and</strong> Applications<br />
Extra Practice<br />
See p. 692.<br />
Skill Check<br />
Homework Help<br />
Example 1: Exs. 8–10<br />
Example 2: Exs. 11–18<br />
Example 3: Exs. 27–40<br />
2. 7 yd 2<br />
C<strong>and</strong>les Find the volume <strong>of</strong> the c<strong>and</strong>le.<br />
3. 3 m 2<br />
5. 6.<br />
6 cm<br />
7.<br />
8 cm<br />
12 cm<br />
10 cm<br />
B ≈ 63.6 cm 2<br />
4. 2 cm 3<br />
Using Unit Cubes Find the number <strong>of</strong> unit cubes that will fit in the<br />
box. Explain your reasoning.<br />
8. 9. 10.<br />
2<br />
3<br />
3<br />
5<br />
4<br />
4<br />
<strong>Volume</strong> <strong>of</strong> a Prism Find the volume <strong>of</strong> the prism.<br />
11. 12. 13.<br />
5 in.<br />
<strong>Volume</strong> <strong>of</strong> a Cube In Exercises 14–16, you are given the length<br />
<strong>of</strong> each side <strong>of</strong> a cube. Sketch the cube <strong>and</strong> find its volume.<br />
14. 3 meters 15. 7 feet 16. 10 centimeters<br />
Visualize It!<br />
5 in.<br />
4 in.<br />
2 cm<br />
6 cm<br />
3 cm<br />
In Exercises 17 <strong>and</strong> 18, make a sketch <strong>of</strong> the solid.<br />
Then find its volume.<br />
17. A prism has a square base with 4 meter sides <strong>and</strong> a height <strong>of</strong><br />
7 meters.<br />
12 m<br />
18. A prism has a rectangular base that is 3 feet by 6 feet <strong>and</strong> a height<br />
<strong>of</strong> 8 feet.<br />
4 m<br />
3<br />
12 cm<br />
B ≈ 23.4 cm 2<br />
9 m<br />
<strong>9.4</strong> <strong>Volume</strong> <strong>of</strong> <strong>Prisms</strong> <strong>and</strong> <strong>Cylinders</strong> 503<br />
2<br />
4
Change language