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9.4 Volume of Prisms and Cylinders

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IStudent Help<br />

I CLASSZONE.COM<br />

HOMEWORK HELP<br />

Extra help with problem<br />

solving in Exs. 19–21 is<br />

at classzone.com<br />

Civil Engineering<br />

SOO LOCKS The first locks<br />

system between Lake Superior<br />

<strong>and</strong> Lake Huron was built<br />

around 1797. Today, four locks<br />

are available in the Soo Locks<br />

system.<br />

504 Chapter 9 Surface Area <strong>and</strong> <strong>Volume</strong><br />

Finding <strong>Volume</strong> Find the volume <strong>of</strong> the combined prisms.<br />

19.<br />

3 ft<br />

20. 6 in.<br />

21. 2 m<br />

2 in.<br />

5 m<br />

8 ft<br />

1 in.<br />

2 ft<br />

4 in.<br />

2 ft 5 ft<br />

Shopping In Exercises 22–24, use the information about the sizes <strong>of</strong><br />

the cereal boxes shown below.<br />

22. Find the volume <strong>of</strong> each box <strong>of</strong> cereal.<br />

23. How many small boxes<br />

<strong>of</strong> cereal do you have to<br />

buy to equal the amount<br />

<strong>of</strong> cereal in a large box?<br />

24. Which box gives you the<br />

most cereal for your<br />

money? Explain.<br />

Soo Locks In Exercises 25 <strong>and</strong> 26, use the information below.<br />

Lake Superior is about 22 feet higher than Lake Huron. In order for<br />

ships to safely pass from one lake to the other, they must go through<br />

one <strong>of</strong> the four Soo Locks.<br />

Lake<br />

Huron<br />

22 ft<br />

Lake<br />

Huron<br />

2 in.<br />

25. Water is added to the MacArthur Lock until the height is increased by<br />

22 feet. To find the amount <strong>of</strong> water added to the lock, find the volume<br />

<strong>of</strong> a rectangular prism with a length <strong>of</strong> 800 feet, a width <strong>of</strong> 80 feet, <strong>and</strong> a<br />

height <strong>of</strong> 22 feet.<br />

1 in.<br />

8 in.<br />

Top View<br />

lower gates<br />

80 ft<br />

Side View<br />

upper gates<br />

800 ft<br />

$2.00 $2.00<br />

Not drawn to scale<br />

26. How many gallons <strong>of</strong> water are added to the MacArthur Lock<br />

to raise the ship to the level <strong>of</strong> Lake Superior? Use the fact that<br />

1 ft 3 ≈ 7.5 gal.<br />

Whole Whole<br />

Grain Grain<br />

Cereal<br />

Part <strong>of</strong> a well balanced breakfast<br />

Nutrition Facts<br />

Serving Size 1 bowl<br />

Serving per container<br />

Amount per serving<br />

Calories 45<br />

%Daily Value<br />

Total Fat 0g<br />

Saturated Fat 0g<br />

Cholesterol 0mg<br />

Sodium 0mg<br />

Carbohydrate 2g<br />

Dietary Fiber 0g<br />

Sugars 0g<br />

Protein less than 1g<br />

Vitamin A ***<br />

Calcium ***<br />

Vitamin C ***<br />

Iron ***<br />

*****<br />

******************<br />

******************<br />

10 in.<br />

2 in.<br />

Whole Whole<br />

Grain Grain<br />

7 m<br />

10 in.<br />

$6.00<br />

Cereal<br />

Part <strong>of</strong> a well balanced breakfast<br />

Nutrition Facts<br />

Serving Size 1 bowl<br />

Serving per container<br />

Amount per serving<br />

Calories 45<br />

%Daily Value<br />

Total Fat 0g<br />

Saturated Fat 0g<br />

Cholesterol 0mg<br />

Sodium 0mg<br />

Carbohydrate 2g<br />

Dietary Fiber 0g<br />

Sugars 0<br />

Protein less than 1g<br />

Vitamin A ***<br />

Calcium ***<br />

Vitamin C ***<br />

Iron ***<br />

*****<br />

******************<br />

******************<br />

10 m<br />

16 in.<br />

4 in.<br />

4 m<br />

Lake<br />

Superior<br />

Lake<br />

Superior

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