Lesson Menu Main Idea NGSSS Example 1:Convert Units of Area Example 2:Convert Units of Volume Example 3:Convert Between Systems Example 4:Convert Between.

Main Idea

NGSSS

Example 1: Convert Units of Area

Example 2: Convert Units of Volume

Example 3: Convert Between Systems

Example 4: Convert Between Systems

Example 5: Convert Units of Volume

Five-Minute Check

• Convert units of area and volume between customary and metric systems.

MA.8.G.5.1 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.

Also addresses MA.8.A.6.4

Convert Units of Area

Convert 12 square yards to square feet.

Multiply by .

= 12 × 3 ft × 3 ft

= 108 ft2

Answer: 12 yd2 = 108 ft2

A. 2 ft2

B. 4 ft2

C. 5 ft2

D. 6 ft2

Convert 720 square inches to square feet.

AIR QUALITY Morgan is using an air purifier in a room that he estimates holds about 27 cubic yards of air. How many cubic feet of air will the air purifier need to clear?

Convert Units of Volume

= 27 × 3 ft × 3 ft × 3 ft

= 729 ft3

Answer: The purifier will need to clear 729 cubic feet of air.

Multiply by .

A. 2.5 in3

B. 360 in3

C. 4,320 in3

D. 51,840 in3

BUILDING How many cubic inches of concrete will a builder need for a rectangular patio that has a volume of 30 cubic feet?

Convert Between Systems

Complete the conversion. Round to the nearest hundredth if necessary.24 in2 ≈ __ cm2

≈ 154.84 cm2 Multiply.

Answer: 154.84

Multiply by .

A. 0.39

B. 1.16

C. 4.83

D. 12.50

Complete the conversion. Round to the nearest hundredth if necessary.3 km2 ≈ __ mi2

Complete the conversion. Round to the nearest hundredth if necessary.90 ft3 ≈ __ m3

Convert Between Systems

≈ 2.55 m3 Multiply.

Answer: 2.55 m3

Multiply by .

A. 14.33

B. 18.93

C. 54.22

D. 271.12

Complete the conversion. Round to the nearest hundredth if necessary.5 gal3 ≈ __ L3

Convert Units of Volume

SOY MILK An individual carton of soy milk is 5 centimeters wide, 9 centimeters tall, and 3 centimeters deep. How many liters of soy milk completely fill the carton?

Step 1 Find the volume.

V = bwh

V = 5 cm • 9 cm • 3 cm

V = 135 cm3

Convert Units of Volume

Answer: So, 0.135 liter of soy milk completely fills the carton.

Step 2 Find the capacity.

= 0.135 L

A. 4.725 L

B. 472.5 L

C. 47,250 L

D. 472,500 L

WATER A water trough for horses is 180 centimeters long, 75 centimeters wide, and 35 centimeters deep. How many liters of water can it hold?

A. 1.54

B. 13.89

C. 55.56

D. 83.33

Complete the conversion. Round to the nearest hundredth if necessary.2,000 in2 = __ yd2

A. 0.24

B. 4.17

C. 7.92

D. 137.46

Complete the conversion. Round to the nearest hundredth if necessary.33 km3 = __ mi3

A. 35.26

B. 5,892.02

C. 18,744.79

D. 158,603.58

Complete the conversion. Round to the nearest hundredth if necessary.4,500 m3 = __ ft3

A. 3.13

B. 37.50

C. 5,400

D. 64,800

Complete the conversion. Round to the nearest hundredth if necessary.450 in2 = __ ft2

A. 1.215 L

B. 121.5 L

C. 1,215 L

D. 121,500 L

An aquarium is 90 centimeters long, 30 centimeters wide, and 45 centimeters tall. How many liters of water can the aquarium hold?

A. 58.33

B. 29.17

C. 19.44

D. 9.72

A concrete company is pouring a rectangular driveway that is 35 feet long and 15 feet wide. If the new concrete for the driveway is poured 0.5 feet deep, approximately how many cubic yards of concrete will be needed for the whole driveway?