Complete the following:
(a) 1400 ft2 = _________ yd2
(b) 1/9 yd3 = _________ ft3
(c) 4.5 lb = _________ oz
(d) 32 °C = _________ °F
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To complete the conversion problems, we'll use the conversion formulas to convert from one unit to another. Here are the solutions for each problem:
(a) Converting square feet (ft²) to square yards (yd²):
To convert from square feet to square yards, we divide by the conversion factor of 9, since 1 yard is equal to 3 feet. So, to convert 1400 ft² to yd², we divide it by 9:
1400 ft² / 9 = 155.56 yd²
Therefore, 1400 ft² is equal to approximately 155.56 yd².
(b) Converting cubic yards (yd³) to cubic feet (ft³):
To convert from cubic yards to cubic feet, we multiply by the conversion factor of 27, since 1 yard is equal to 3 feet, and we need to consider all three dimensions. So, to convert 1/9 yd³ to ft³, we multiply it by 27:
(1/9) yd³ * 27 = 3 ft³
Therefore, 1/9 yd³ is equal to 3 ft³.
(c) Converting pounds (lb) to ounces (oz):
To convert from pounds to ounces, we multiply by the conversion factor of 16, since there are 16 ounces in 1 pound. So, to convert 4.5 lb to oz, we multiply it by 16:
4.5 lb * 16 = 72 oz
Therefore, 4.5 lb is equal to 72 oz.
(d) Converting Celsius (°C) to Fahrenheit (°F):
To convert from Celsius to Fahrenheit, we use the formula: °F = (°C * 9/5) + 32.
So, to convert 32 °C to °F, we use the formula:
(32 * 9/5) + 32 = 89.6 °F
Therefore, 32 °C is equal to 89.6 °F.