US Customary Weight Measurements Alıştırma Soruları — Armed Services Vocational Aptitude Battery (ASVAB)

Soru 1Soru →

A logistics officer must load four distinct cargo items onto a transport aircraft. To maintain proper weight distribution, the items must be loaded in a specific sequence based on their total weight. Arrange the following cargo items in order from lightest to heaviest.

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Cevap

The correct order from lightest to heaviest is: the crate (

2,250

lbs), the pallet (

2,280

lbs), the container (

2,300

lbs), and the supply pod (

2,330

lbs).

By converting all items to a common unit (pounds), we can accurately compare their weights: the crate is

2,250

lbs, the pallet is

2,280

lbs, the container is

2,300

lbs, and the supply pod is

2,330

lbs. Arranging these from lightest to heaviest yields the correct sequence.

Adım Adım Çözüm

1

Convert the weight of the crate to pounds.

2,250

lbs

Standardizing all weights to a single unit (pounds) allows for direct comparison.

\frac{9}{8} \times 2,000 = 2,250

.

2

Convert the weight of the pallet to pounds.

2,280

lbs

Since there are

16

ounces in a pound, divide by

16

.

36,480 \div 16 = 2,280

.

3

Convert the weight of the container to pounds.

2,300

lbs

Since there are

2,000

pounds in a ton, multiply by

2,000

.

1.15 \times 2,000 = 2,300

.

4

Convert the weight of the supply pod to pounds.

2,330

lbs

The pod has mixed units. Convert the ton to

2,000

pounds and the ounces to pounds (

5,280 \div 16 = 330

). Adding them gives

2,000 + 330 = 2,330

.

5

Arrange the converted weights in ascending order.

2,250 < 2,280 < 2,300 < 2,330

The question asks for the items to be ordered from lightest to heaviest.

Anahtar Kavram

Multi-step conversion between ounces, pounds, and tons.

Tahmini Süre:3m 0s

Soru 2Soru →

A supply depot receives a shipment of $1.8$ tons of emergency rations. The personnel first distribute the rations into 24 bulk storage containers, placing exactly 50 pounds into each container. The remaining rations are then divided into individual meal packets that contain 15 ounces each. How many complete 15-ounce meal packets can be filled from the remaining rations?

10

160

1600

2560

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Cevap: 2560

Cevap

2560

The correct answer is found by first converting the 1.8 tons to 3,600 pounds. Next, subtract the 1,200 pounds used for the bulk containers to get 2,400 pounds remaining. Convert this remainder to ounces by multiplying by 16, yielding 38,400 ounces. Finally, dividing by the 15-ounce packet size results in exactly 2,560 packets.

Adım Adım Çözüm

1

Convert the total weight of the shipment from tons to pounds.

1.8 \times 2000 = 3600

pounds

Standardizing the initial weight into pounds is required because the bulk containers are measured in pounds.

2

Calculate the total weight placed into the bulk storage containers.

24 \times 50 = 1200

pounds

This establishes how much of the shipment has already been allocated.

3

Subtract the bulk storage weight from the total weight to find the remaining pounds.

3600 - 1200 = 2400

pounds

This isolates the remaining weight that will be used for the individual meal packets.

4

Convert the remaining weight from pounds to ounces.

2400 \times 16 = 38400

ounces

The meal packets are measured in ounces, so the remaining bulk weight must match these units before dividing.

5

Divide the remaining ounces by the size of each meal packet.

38400 \div 15 = 2560

packets

This final division determines the exact number of packets that can be completely filled.

Anahtar Kavram

Multi-step conversion between US Customary weight units (tons, pounds, ounces)

Soru 3Soru →

A post office charges a flat rate of $\$ 3.00$ per pound to ship a certain class of package. If a customer mails a package that weighs exactly $48$ ounces, what is the total shipping cost?

\$ 0.90

\$ 1.00

\$ 9.00

\$ 144.00

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Cevap: $\$ 9.00$

Cevap

\$ 9.00

To find the total shipping cost, first convert the given weight from ounces to pounds. Because there are

16

ounces in

1

pound, you divide

48

by

16

to get

3

pounds. Next, multiply the weight in pounds by the shipping rate of

\$ 3.00

per pound (

3 \times 3.00 = 9.00

). The correct total cost is

\$ 9.00

.

Adım Adım Çözüm

1

Convert the weight of the package from ounces to pounds.

48 \text{ ounces} \div 16 \text{ ounces/pound} = 3 \text{ pounds}

The shipping rate is given per pound, so the package weight must be calculated in pounds.

2

Calculate the total shipping cost by multiplying the weight in pounds by the rate per pound.

3 \text{ pounds} \times \$ 3.00/\text{pound} = \$ 9.00

Total cost equals the unit rate multiplied by the total number of units.

Anahtar Kavram

US Customary Weight Measurements

Soru 4Soru →

A quartermaster is preparing individual equipment packs for a field training exercise. Arrange the following items in order from lightest to heaviest.

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Cevap

The correct sequence from lightest to heaviest is: Radio battery, Utility knife, Medical kit, Entrenching tool.

To accurately compare the items, all weights must be in the same unit. Converting pounds to ounces (where

1

pound =

16

ounces) reveals the actual weights: the Radio battery is

10

oz, the Utility knife is

16

oz, the Medical kit is

20

oz, and the Entrenching tool is

32

oz. Placing them in ascending order gives the correct arrangement.

Adım Adım Çözüm

1

Identify the goal and the units provided in the problem.

The goal is to order the items from lowest weight to highest weight. The weights are given in a mix of ounces and pounds.

Before comparing values, all measurements must be converted to the same unit to ensure an accurate comparison.

2

Convert the weight of each item into ounces.

Radio battery =

10

ounces. Utility knife =

1

pound =

16

ounces. Medical kit =

20

ounces. Entrenching tool =

2

pounds =

32

ounces.

Using the standard conversion that

1

pound equals

16

ounces makes it easy to compare all items using the smaller unit.

3

Sort the converted values from smallest to largest.

10

ounces <

16

ounces <

20

ounces <

32

ounces.

Sorting the unified measurements directly yields the final ordered list from lightest to heaviest.

Anahtar Kavram

To compare standard US customary weights, convert all measurements to the same unit using the conversion factor of

16

ounces per pound.

Soru 5Soru →

A combat engineer platoon is constructing a defensive barrier. They use $15$ sandbags to reinforce a specific section. If each filled sandbag weighs exactly $42$ pounds and $12$ ounces, what is the total weight of the sandbags used for this section, in pounds?

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Cevap: 641.25

Cevap

641.25

The correct calculation requires first establishing the exact weight of a single sandbag in pounds. Because there are

16

ounces in

1

pound,

12

ounces converts to

0.75

pounds (

12 \div 16

). Adding this to the base

42

pounds yields

42.75

pounds per sandbag. Multiplying this decimal weight by the

15

sandbags results in exactly

641.25

pounds.

Adım Adım Çözüm

1

Convert the ounce portion of the sandbag weight into pounds.

12 \text{ oz} \div 16 \text{ oz/lb} = 0.75 \text{ lbs}

To perform accurate arithmetic operations in a single unit, the mixed US Customary unit must be standardized into pounds.

2

Calculate the total weight of one sandbag in pounds.

42 \text{ lbs} + 0.75 \text{ lbs} = 42.75 \text{ lbs}

Combines the converted ounce value with the existing pound value to find the exact decimal weight of a single unit.

3

Multiply the single sandbag weight by the total number of sandbags.

42.75 \text{ lbs} \times 15 = 641.25 \text{ lbs}

Finds the aggregate weight for all

15

sandbags used in the section.

Anahtar Kavram

Converting mixed US Customary weight units (pounds and ounces) to a single decimal unit and calculating aggregate weight.

Soru 6Soru →

A disaster relief team is assembling emergency survival kits. Each kit must contain exactly $15$ ounces of high-energy rations. If the team receives a bulk shipment of $2.4$ tons of these rations, what is the total number of complete kits they can assemble?

320

2,560

3,200

5,120

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Cevap: $5,120$

Cevap

The team can assemble exactly 5,120 complete survival kits.

To find the number of kits, the total weight must be converted to the same unit as the kit requirement. Converting

2.4

tons to pounds yields

4,800

pounds (using

2,000

pounds per ton). Converting

4,800

pounds to ounces yields

76,800

ounces (using

16

ounces per pound). Dividing the total

76,800

ounces by

15

ounces per kit results in exactly

5,120

kits.

Adım Adım Çözüm

1

Convert the total weight of the shipment from tons to pounds.

2.4 \times 2,000 = 4,800

pounds

There are 2,000 pounds in 1 US ton, which is the first step in moving toward the required unit of ounces.

2

Convert the total weight from pounds to ounces.

4,800 \times 16 = 76,800

ounces

There are 16 ounces in 1 pound. The total supply must be in the same units as the individual kit requirement to calculate the number of kits.

3

Divide the total ounces available by the ounces required for one kit.

76,800 \div 15 = 5,120

kits

Dividing the total mass of rations by the mass per kit determines how many complete kits can be created.

Anahtar Kavram

To divide a bulk quantity into smaller parts, all measurements must be converted to the same unit using standard US customary weight conversions (1 ton = 2,000 pounds; 1 pound = 16 ounces).

Soru 7Soru →

A scrap metal recycling facility is preparing four different compacted bales of aluminum for transport. Arrange the following bales in order from the lightest to the heaviest weight.

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Cevap

The correct order from lightest to heaviest is: the

38,400

-ounce bale, the

2,450

-pound bale, the

1.25

-ton bale, and the

1

-ton and

600

-pound bale.

By converting all weights to a single common unit (pounds), we find the sequence is

2,400

lbs,

2,450

lbs,

2,500

lbs, and

2,600

lbs. This establishes the correct order from lightest to heaviest.

Adım Adım Çözüm

1

Convert the weight of the

38,400

-ounce bale to pounds.

38,400 \div 16 = 2,400

pounds.

Since there are

16

ounces in a pound, dividing the total ounces by

16

converts the weight to pounds, providing a common unit for comparison.

2

Evaluate the weight of the second bale.

The weight is already provided in pounds:

2,450

pounds.

No conversion is necessary for this item.

3

Convert the weight of the

1.25

-ton bale to pounds.

1.25 \times 2,000 = 2,500

pounds.

Since there are

2,000

pounds in a US short ton, multiplying the ton value by

2,000

gives the weight in pounds.

4

Convert the weight of the mixed-unit bale (

1

ton and

600

pounds) to pounds.

1 \times 2,000 = 2,000

pounds. Adding the extra

600

pounds results in

2,000 + 600 = 2,600

pounds.

Convert the ton portion to pounds first, then add the remaining pounds to find the total.

5

Compare all four weights in pounds and sequence them from lightest to heaviest.

2,400

lbs

<

2,450

lbs

<

2,500

lbs

<

2,600

lbs.

Ordering the standardized numerical values determines the correct sequence of the items.

Anahtar Kavram

Converting between ounces, pounds, and US short tons to compare varying weights.

Soru 8Soru →

A military dining facility is using a recipe for a large batch of stew that requires $2.5$ pounds of beef. A chef is scaling up the recipe and needs to prepare $40$ batches for an upcoming event. The beef is purchased from a wholesale supplier at a cost of $\$0.60$ per ounce. What is the total cost of the beef required for all $40$ batches?

\$3.75

\$60

\$960

\$9,600

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Cevap: $\$960$

Cevap

The total cost of the beef required is

\$960

.

First, find the total weight in pounds by multiplying the number of batches by the weight per batch (

40 \times 2.5 = 100

pounds). Next, convert the pounds to ounces by multiplying by

16

since there are

16

ounces in a pound (

100 \times 16 = 1,600

ounces). Finally, multiply the total ounces by the cost per ounce (

1,600 \times \$0.60

) to get the total cost of

\$960

.

Adım Adım Çözüm

1

Calculate the total amount of beef needed in pounds.

40 \times 2.5 = 100

pounds

To find the total weight required, multiply the number of batches by the weight per batch.

2

Convert the total weight from pounds to ounces.

100 \times 16 = 1,600

ounces

The cost is given per ounce, so the total weight must be converted to ounces. There are

16

ounces in a pound.

3

Calculate the total cost by multiplying the total ounces by the cost per ounce.

1,600 \times \$0.60 = \$960

Multiplying the total number of ounces by the price per ounce yields the total cost.

Anahtar Kavram

Unit conversions for US customary weight and calculating total costs

Soru 9Soru →

A cargo master is preparing an air drop bundle. The bundle contains $64$ identical medical supply boxes. Each box weighs exactly $6$ pounds and $4$ ounces. The parachute and rigging equipment add an additional $125$ pounds to the total load. What is the total combined weight, in pounds, of the fully rigged bundle?

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Cevap: 525

Cevap

525

The correct answer is found by first converting the weight of each medical box entirely into pounds. Since there are

16

ounces in a pound,

4

ounces is equal to

\frac{4}{16}

or

0.25

pounds, making each box

6.25

pounds. Multiplying this weight by the

64

boxes gives a total medical supply weight of

400

pounds. Adding the

125

pounds for the parachute and rigging equipment gives a final total weight of

525

pounds.

Adım Adım Çözüm

1

Convert the fractional ounces into pounds.

4 ounces = 0.25 pounds, making each box 6.25 pounds.

To standardize the unit of measurement to pounds before calculating the total weight.

2

Calculate the total weight of all medical boxes.

64 boxes × 6.25 lbs/box = 400 lbs.

To find the aggregate weight of the payload.

3

Add the weight of the rigging equipment.

400 lbs + 125 lbs = 525 lbs.

The question asks for the total combined weight of the fully rigged bundle.

Anahtar Kavram

US Customary Weight Measurement Conversions

US Customary Weight Measurements

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