MEASUREMENT Unit Conversions.

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Presentation transcript:

MEASUREMENT Unit Conversions

Dimensional Analysis The “Factor-Label” Method Units, or “labels” are canceled, or “factored” out

Dimensional Analysis Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer.

Dimensional Analysis qt mL 1.00 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL How many milliliters are in 1.00 quart of milk? qt mL 1.00 qt 1 L 1.057 qt 1000 mL 1 L = 946 mL 

Dimensional Analysis lb cm3 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm3 You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3. lb cm3 1.5 lb 1 kg 2.2 lb 1000 g 1 kg 1 cm3 19.3 g = 35 cm3

Dimensional Analysis in3 L 75.0 in3 (2.54 cm)3 (1 in)3 1 L 1000 cm3 How many liters of water would fill a container that measures 75.0 in3? in3 L 75.0 in3 (2.54 cm)3 (1 in)3 1 L 1000 cm3 = 1.23 L

Dimensional Analysis cm in 8.0 cm 1 in 2.54 cm = 3.2 in 5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off? cm in 8.0 cm 1 in 2.54 cm = 3.2 in

Dimensional Analysis cm yd 550 cm 1 in 2.54 cm 1 ft 12 in 1 yd 3 ft 6) Taft football needs 550 cm for a 1st down. How many yards is this? cm yd 550 cm 1 in 2.54 cm 1 ft 12 in 1 yd 3 ft = 6.0 yd

Dimensional Analysis cm pieces 1.3 m 100 cm 1 m 1 piece 1.5 cm 7) A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire? cm pieces 1.3 m 100 cm 1 m 1 piece 1.5 cm = 86 pieces