7th Grade Math

Chapter Study Guide and Review

664 Measurement and Proportional Reasoning

Convert Measurements (continued)

Convert Rates (Lesson 1E)

Convert each rate. Round to the nearest

hundredth.

26. 8 _ 41 ft/s =  yd/s


27. 105.6 L/h =  L/min


28. 52 mi/h ≈  km/min


29. 8.4 lb/min =  oz/s


30. AIRPLANE An airplane is traveling at an
    average speed of 245 meters per second.
    How many kilometers per second is the
    plane traveling?


31. RIVER A river is flowing at a rate of
    45 feet per minute. About how many
    meters per second is the water flowing?

EXAMPLE 4 Leo drank an average of

0.1 liter of water per hour. About how

many gallons of water did he drink

per hour?

Since 1 gallon = 3.79 liters, use the unit

ratio

1 gal

_3.79 L.

_0.1 L1 h ≈

0.1 L

_1 h ×

1 gal

_

3.79 L

Multiply by

1 gal

_3.79 L. Divide out

common units.

≈

0.03 gal

_1 h Simplify.

So, Leo drank about 0.03 gallon of water

per hour.

Convert Units of Area and Volume (Lesson 1F)

Complete. Round to the nearest hundredth

if necessary.

32. 0.15 ft^3 =  in^3


33. 0.3 m^2 =  cm^2


34. 1.64 yd^2 =  ft^2


35. 581 mm^3 =  cm^3


36. AQUARIUM An aquarium holds
    3,456 cubic inches of water. How
    many cubic feet will the aquarium hold?


37. WRAPPING PAPER A gift needed 4.2 square
    yards of wrapping paper. How many
    square feet of wrapping paper were used?

EXAMPLE 5 Convert the area of the

square to square inches.

4 ft

4 ft

The area of the square is 4 feet × 4 feet or

16 square feet. Use the ratio 144 in

2

_

1 ft^2

to find

the number of square inches.

16 ft^2 = 16 ft^2 × 144 in

2

_

1 ft^2

Multiply by 144 in

2

_1 ft 2.

= 16 ft^2 × 144 in

2

_

1 ft^2

Divide out common units,

leaving the desired unit,

inches.

= 2,304 in^2 Simplify.

The area of the square is 2,304 square

inches.

Lesson 1

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