Carry out the following conversions:
a. 0.105 in to mm
b. 8.75 μm/s to km/hr
c. 1.955 m3 to yd3
d. 8.75 lb/ft3 to g/mL
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a. To convert inches to millimeters, we need to know that 1 inch is equal to 25.4 millimeters. So, to convert 0.105 inches to millimeters, we multiply it by 25.4:
0.105 inches * 25.4 mm/inch = 2.667 mm (rounded to three decimal places)
So, 0.105 inches is approximately equal to 2.667 mm.
b. To convert micrometers per second (μm/s) to kilometers per hour (km/hr), we need to know that 1 kilometer is equal to 1,000,000 micrometers and 1 hour is equal to 3,600 seconds.
So, to convert 8.75 μm/s to km/hr, we can follow these steps:
8.75 μm/s * (1 km / 1,000,000 μm) * (3,600 s / 1 hr) = 0.0315 km/hr (rounded to four decimal places)
So, 8.75 μm/s is approximately equal to 0.0315 km/hr.
c. To convert cubic meters (m3) to cubic yards (yd3), we need to know that 1 cubic meter is equal to 1.30795 cubic yards. So, to convert 1.955 m3 to yd3, we multiply it by 1.30795:
1.955 m3 * 1.30795 yd3/m3 = 2.556 yd3 (rounded to three decimal places)
So, 1.955 m3 is approximately equal to 2.556 yd3.
d. To convert pounds per cubic foot (lb/ft3) to grams per milliliter (g/mL), we need to know that 1 pound is equal to 453.592 grams and 1 cubic foot is equal to 28,316.8 milliliters. So, to convert 8.75 lb/ft3 to g/mL, we can follow these steps:
8.75 lb/ft3 * (453.592 g / 1 lb) * (1 ml / 28,316.8 ft3) = 0.0488 g/mL (rounded to four decimal places)
So, 8.75 lb/ft3 is approximately equal to 0.0488 g/mL.