A military supply officer is inventorying emergency drinking water supplies stored in four… — Armed Services Vocational Aptitude Battery (ASVAB)

A military supply officer is inventorying emergency drinking water supplies stored in four different transport containers. To properly balance the cargo load for an upcoming transport flight, the officer needs to evaluate their relative capacities. Arrange the following containers from least to greatest volume of water.

1Container C: $450,000$ milliliters
2Container D: $46,500$ centiliters
3Container A: $0.48$ kiloliters
4Container B: $490$ liters

Answer

The correct sequence from least to greatest volume is Container C, Container D, Container A, and Container B.

To accurately compare the volumes, each measurement must be standardized to a common unit, such as liters. Container C converts to

450

liters (

450,000 \div 1,000

). Container D converts to

465

liters (

46,500 \div 100

). Container A converts to

480

liters (

0.48 \times 1,000

). Container B is already given as

490

liters. Arranging these converted values from least to greatest yields Container C, Container D, Container A, and Container B.

Step-by-Step Solution

Convert the volume of Container A to liters.

0.48 \text{ kL} \times 1,000 = 480 \text{ L}

The prefix kilo- means 1,000. Multiplying kiloliters by 1,000 converts the measurement to the base unit of liters.

Convert the volume of Container C to liters.

450,000 \text{ mL} \div 1,000 = 450 \text{ L}

The prefix milli- means one-thousandth. Dividing milliliters by 1,000 converts the measurement to liters.

Convert the volume of Container D to liters.

46,500 \text{ cL} \div 100 = 465 \text{ L}

The prefix centi- means one-hundredth. Dividing centiliters by 100 converts the measurement to liters.

Compare the standardized values to establish the final order.

450 \text{ L} < 465 \text{ L} < 480 \text{ L} < 490 \text{ L}

Ordering the converted numerical values directly dictates the arrangement from least to greatest capacity.

Key Concept

Converting metric capacity units (kiloliters, liters, centiliters, milliliters) to a common base unit to compare magnitudes.

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