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Solve the following problems completely on a separate sheet of paper, and then rewrite your solutions and answers in the space provided. Box all final answers.

1. Convert the following to the units indicated:

(a) Convert [tex]3 \times 10^5[/tex] meters to miles.

(b) Convert 8.5 kilograms to metric tons.

(c) A gallon is 231 cubic inches. How many liters are there in a cubic foot?

Answer :

a. 3 × 10^5 meters is approximately equal to 186.41 miles.

b. 8.5 kilograms is approximately equal to 0.0085 metric tons.

c. There are approximately 28.3168 liters in a cubic foot.

Sure! Here are the solutions to the problems:

(a) Convert 3 × 10^5 meters to miles:

1 mile = 1609.34 meters (approximately)

3 × 10^5 meters ÷ 1609.34 meters/mile ≈ 186.41 miles

Answer: 3 × 10^5 meters is approximately equal to 186.41 miles.

(b) Convert 8.5 kilograms to metric tons:

1 metric ton = 1000 kilograms

8.5 kilograms ÷ 1000 ≈ 0.0085 metric tons

Answer: 8.5 kilograms is approximately equal to 0.0085 metric tons.

(c) Find the number of liters in a cubic foot:

1 gallon = 231 cubic inches

1 cubic foot = 12 inches × 12 inches × 12 inches = 1728 cubic inches

To convert cubic inches to liters, we need to know that 1 liter is approximately equal to 61.024 cubic inches.

So, the conversion factor is:

1 liter ≈ 61.024 cubic inches

Therefore, the number of liters in a cubic foot is:

1728 cubic inches ÷ 61.024 cubic inches/liter ≈ 28.3168 liters

Answer: There are approximately 28.3168 liters in a cubic foot.

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