A military supply officer is preparing cargo for an allied joint exercise. Match the follo… — Armed Services Vocational Aptitude Battery (ASVAB)

A military supply officer is preparing cargo for an allied joint exercise. Match the following US Customary measurements to their approximate Metric equivalents based on standard conversion rates ( $1 \text{ inch} = 2.54 \text{ cm}$ , $1 \text{ kg} \approx 2.2 \text{ lbs}$ , $1 \text{ mile} \approx 1.6 \text{ km}$ , $1 \text{ gallon} \approx 3.78 \text{ L}$ ).

Clearance height: $10 \text{ inches}$ $25.4 \text{ centimeters}$
Marching distance: $5 \text{ miles}$ $8 \text{ kilometers}$
Equipment crate: $110 \text{ pounds}$ $50 \text{ kilograms}$
Fuel container: $10 \text{ gallons}$ $37.8 \text{ liters}$

Answer

The correct pairings are:

10 \text{ inches}

matches with

25.4 \text{ centimeters}

5 \text{ miles}

matches with

8 \text{ kilometers}

110 \text{ pounds}

matches with

50 \text{ kilograms}

, and

10 \text{ gallons}

matches with

37.8 \text{ liters}

Each measurement is paired with its metric equivalent by correctly applying the given conversion factors. Multiplying is used to convert inches to centimeters, miles to kilometers, and gallons to liters. Dividing is required to convert pounds to kilograms.

Step-by-Step Solution

Identify the conversion factors provided in the prompt.

1 \text{ inch} = 2.54 \text{ cm}

1 \text{ kg} = 2.2 \text{ lbs}

1 \text{ mile} = 1.6 \text{ km}

1 \text{ gallon} = 3.78 \text{ L}

These rates determine whether to multiply or divide.

Convert the clearance height from inches to centimeters.

10 \times 2.54 = 25.4 \text{ cm}

Multiplying by the factor converts US standard length to metric.

Convert the marching distance from miles to kilometers.

5 \times 1.6 = 8 \text{ km}

Multiplying miles by

1.6

yields the correct distance in kilometers.

Convert the crate weight from pounds to kilograms.

110 \div 2.2 = 50 \text{ kg}

Since

1 \text{ kg}

2.2 \text{ lbs}

, dividing the total pounds by

2.2

gives the number of kilograms.

Convert the fuel capacity from gallons to liters.

10 \times 3.78 = 37.8 \text{ L}

Multiplying gallons by the conversion factor

3.78

yields the volume in liters.

Key Concept

Inter-System Unit Conversions

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