Subjects unit conversion

Unit Conversions 8387B3

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1. Convert 7 kilometers to meters. We know that 1 kilometer = 1000 meters. $$7 \text{ km} = 7 \times 1000 = 7000 \text{ meters}$$ 2. Convert 53 inches to feet. Given 1 foot = 12 inches. $$53 \text{ inches} = \frac{53}{12} = \frac{\cancel{53}}{\cancel{12}} = 4.4167 \text{ feet}$$ 3. Convert 72 kilometers per hour to meters per second. 1 kilometer = 1000 meters, 1 hour = 3600 seconds. $$72 \frac{\text{km}}{\text{hr}} = 72 \times \frac{1000}{3600} = 72 \times \frac{\cancel{1000}}{\cancel{3600}} = 20 \text{ m/s}$$ 4. Convert 5600 grams to pounds. Given 1 lb = 453.592 g. $$5600 \text{ g} = \frac{5600}{453.592} = 12.345 \text{ lbs}$$ 5. Convert 2.8 gallons to liters. Given 1 gallon = 3.78541 L. $$2.8 \text{ gallons} = 2.8 \times 3.78541 = 10.599 \text{ liters}$$ 6. Convert 0.008 cubic meters to milliliters. Given 1 m^3 = 1000 L and 1 L = 1000 mL. $$0.008 \text{ m}^3 = 0.008 \times 1000 = 8 \text{ L}$$ $$8 \text{ L} = 8 \times 1000 = 8000 \text{ mL}$$ 7. Convert 93 days to seconds. 1 day = 24 hours, 1 hour = 3600 seconds. $$93 \text{ days} = 93 \times 24 \times 3600 = 8,035,200 \text{ seconds}$$ 8. Convert 150 inches to meters. Given 1 inch = 0.0254 m. $$150 \text{ inches} = 150 \times 0.0254 = 3.81 \text{ meters}$$ 9. Convert 0.79 hectares to square meters. Given 1 ha = 10,000 m^2. $$0.79 \text{ ha} = 0.79 \times 10,000 = 7,900 \text{ m}^2$$ 10. Convert 2011 Joules to kilocalories. Given 1 kcal = 4184 J. $$2011 \text{ J} = \frac{2011}{4184} = 0.48 \text{ kcal}$$