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Lesson Menu. Main Idea 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. Convert units of area and volume between customary and metric systems. Main Idea/Vocabulary.

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  1. Lesson Menu Main Idea 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

  2. Convert units of area and volume between customary and metric systems. Main Idea/Vocabulary

  3. Multiply by . Convert Units of Area Convert 12 square yards to square feet. = 12 × 3 ft × 3 ft = 108 ft2 Answer: 12 yd2 = 108 ft2 Example 1

  4. Convert 720 square inches to square feet. A. 2 ft2 B. 4 ft2 C. 5 ft2 D. 6 ft2 Example 1 CYP

  5. Multiply by . Convert Units of Volume 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? = 27 × 3 ft × 3 ft × 3 ft = 729 ft3 Answer: The purifier will need to clear 729 cubic feet of air. Example 2

  6. BUILDING How many cubic inches of concrete will a builder need for a rectangular patio that has a volume of 30 cubic feet? A. 2.5 in3 B. 360 in3 C. 4,320 in3 D. 51,840 in3 Example 2 CYP

  7. Multiply by . Convert Between Systems Complete the conversion. Round to the nearest hundredth if necessary.24 in2 ≈ __ cm2 ≈ 154.84 cm2 Multiply. Answer: 154.84 Example 3

  8. Complete the conversion. Round to the nearest hundredth if necessary.3 km2 ≈ __ mi2 A. 0.39 B. 1.16 C. 4.83 D. 12.50 Example 3 CYP

  9. Multiply by . Convert Between Systems Complete the conversion. Round to the nearest hundredth if necessary.90 ft3 ≈ __ m3 ≈ 2.55 m3 Multiply. Answer: 2.55 m3 Example 4

  10. Complete the conversion. Round to the nearest hundredth if necessary.5 gal3 ≈ __ L3 A. 14.33 B. 18.93 C. 54.22 D. 271.12 Example 4 CYP

  11. 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 Example 5

  12. Convert Units of Volume Step 2 Find the capacity. = 0.135 L Answer: So, 0.135 liter of soy milk completely fills the carton. Example 5

  13. 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. 4.725 L B. 472.5 L C. 47,250 L D. 472,500 L Example 5 CYP

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