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Question

1) If the metric system is adopted for everyday use fabric will be sold in meters (not yards), milk in liters (not quarts), and meat in kilograms (not pounds). Given that 1 inch = 2.54 cm, 1 pint = 473.2 ml, and 1 pound = 453.6 g, what percentage increase does each of the following represent?
a) fabric: 1.00 meter instead of 1 yard,
b) milk: 1.00 liter instead of 1.00 quart,
c) meat: 1.00 kilogram instead of 2.00 pounds.

2) One cord of wood (a stack 4 ft high by 8 ft long by 4 ft deep) has a volume of 128 ft^3. What is the volume of 1 cord in m^3? One inch equals 2.54 cm exactly.

3) One gallon is 231 in^3. What is the volume of 1 gallon in cm^3? One inch equals 2.54 cm exactly.

Answer 1

1a) 1 metre is 100 centimetres; 1 yard is 36" or (36 x 2.54) cm which is 91.44 cm. To find the % increase, divide (100-91.44) by 91.44 and multiply by 100. 9.36% increase.

1b) 1 litre is 1000 millilitres; 1 quart is 2 pints or (2 x 473.2) millitres or 946.4. To find the % increase, divide (1000-946.4) by 946.4 and multiply by 100. 5.66% increase.

1c) 1 kilogram is 1000 grams; 2 pounds is (2 x 453.6) grams or . To find the % increase, divide (1000-907.2) by 907.2 and multiply by 100. 10.23% increase.

2) 1 foot = (12 * 2.54) cm or 30.48 cm or 0.3048 metres. So 1 cubic foot = (0.3048)³ m³ = 0.028316846592 m³
128 ft³ = 128 x 0.028316846592 m³ = 3.625 m³.

3) 1 cubic inch = 2.54³ cm³ = 16.387064 cm³
231 in³ = 231 x 16.387064 cm³ = 3785.411784 cm³