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23 April, 22:04

Utilizing dimensional analysis find the number of inches in a kilometer given that 1 inch equals 2.54 cm

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  1. 23 April, 23:01
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    To solve this problem, separate it into chunks that you know. You know that there are 2.54 centimeters in 1 inch. You know that there are 100 centimeters in 1 meter. You know that there are 1000 meters in a kilometer. Therefore, we'll convert in this order: 1) from kilometers to meters, 2) from meters to centimeters, and 3) from centimeters to inches.

    1) 1km * 1000m/1km

    = 1000m

    2) 1000m * 100cm/1m

    = 100000cm

    3) 100000cm * 1in/2.54cm

    ≈ 39370in

    So, there are approximately 39370 inches in a kilometer.
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