An HVAC technician is installing a straight run of ventilation ductwork that must be exact… — Armed Services Vocational Aptitude Battery (ASVAB)

An HVAC technician is installing a straight run of ventilation ductwork that must be exactly $4$ yards and $2$ feet long. The ducting material comes in standard pre-cut sections that are exactly $20$ inches long. The technician connects these sections end-to-end. Once the connected sections exceed the required length, the excess material is cut off from the final section so the ductwork matches the exact required length. How many inches of material will be cut off and discarded from the final section?

Cevap: 12 inches

Cevap

12 inches

First, convert the total required length into inches. Since

1

yard equals

3

feet,

4

yards is

12

feet. Adding the extra

2

feet gives a total of

14

feet. Because

1

foot equals

12

inches,

14

feet is

168

inches. Each standard duct section is

20

inches long. Dividing

168

20

gives

8

with a remainder of

8

(or

8.4

), meaning

8

full sections provide only

160

inches, which is not enough. A

9^{\text{th}}

section is needed. The total length of

9

uncut sections is

180

inches. To find the amount discarded, subtract the required length from the total material length:

180 - 168 = 12

inches.

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Convert the required measurement from yards and feet into a single unit of inches.

168 inches

Standardizing the units makes it possible to compare the required length directly with the 20-inch section length.

Determine the number of 20-inch sections needed by dividing the total required length by the length of one section.

8.4 sections, which rounds up to 9 sections.

The technician must use whole sections and cut the final one, so we must round up to the next whole number.

Calculate the total length of the 9 full sections before any cutting.

180 inches

This represents the total raw material used before the final piece is trimmed to fit.

Subtract the exact required length from the total raw material length.

12 inches

The difference between the total material length and the required length is the excess that must be cut off and discarded.

Anahtar Kavram

US Customary Linear Measurements

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