Question

1. Convert 36.4 inches into meters. Map: Conversion factors: Solution: 2. How many milliliters are there...

1. Convert 36.4 inches into meters.

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Conversion factors:
Solution:


2. How many milliliters are there in 43.2 gal?

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3. What is the length of a 10.0 km race in centimeters?

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4. Express a volume of 0.0944 dL in microliters.

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5. An Olympic sized swimming pool has a volume of 660,000 gallons. What is the volume in megaliters?

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6. Engine size is measured by how much air the cylinders displace. A 1956 Pontiac V8 has an engine size of 316.6 cubic inches. What is the size of this engine in cubic meters?

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7. If a snail crawls at a rate of 0.10 cm/s, what is its speed in miles per hour? (1 mi = 5280 ft)

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8. You're throwing a pizza party for 15. How much is the pizza going to cost you? You figure each person will eat 4 slices. You call up the pizza place and learn that each pizza will cost you $14.78 and that the pizza will be cut into 12 slices.

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Answer #1

1.

36.4 inches

1 inch = 2.54 cm = 0.0254 m

36.4 inches = 36.4 x 0.0254 = 0.924 m

2.

43.2 gal

1 gal = 3785.4 mL

43.2 gal = 43.2 x 3785.4 = 163529.28 mL = 1.64 x 10^5 mL

3.

10.0 km

1 km = 10^5 cm

10.0 km = 10.0 x 10^5 = 1.00 x 10^6 cm

4.

0.0944 dL

1 dL = 10^5 microlitre

0.0944 dL = 0.0944 x 10^5 = 9.44 x 10^3 microlitre

5.

660000 gal

1 gal = 3.785412 x 10^-6 megalitres

660000 gal = 660000 x 3.785412 x 10^-6 = 2.49837 megalitres

6.

316.6 cubic inches

1 cubic inches = 1.639 x 10^-5 cubic meters

316.6 cubic inches = 316.6 x 1.639 x 10^-5 = 518.9 x 10^-5 cubic meters = 5.189 x 10^-3 cubic meters

7.

0.10 cm / s

1 cm = 6.2137 x 10^-6 miles

1 s = 1 / ( 60 x 60 ) h

0.10 cm / s = 0.10 x 6.2137 x 10^-6 / ( 60 x 60 ) = 1.726 x 10^-4 x 10^-6 miles / h = 1.7 x 10^-10 miles / h

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