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Zorluk: OrtaUS Customary Linear Measurements

A metal fabricator starts with a single steel rod that measures exactly 44 yards and 22 feet in length. From this rod, they cut 77 identical segments, each measuring exactly 11 foot and 55 inches long. Assuming no material is lost during the cutting process, how many inches of the steel rod remain?

Cevap: 49 inches

Cevap

49 inches
The correct answer is found by converting all lengths into inches (44 yards =144= 144 in, 22 feet =24= 24 in, Total =168= 168 in), finding the total length of the cut pieces (7×177 \times 17 in =119= 119 in), and subtracting the cuts from the total (168−119=49168 - 119 = 49 inches).

Adım Adım Çözüm

1
Convert the total initial length of the steel rod into inches.
44 yards =144= 144 inches; 22 feet =24= 24 inches. Total =168= 168 inches.
Converting to the smallest unit (inches) at the beginning prevents errors when subtracting later.
2
Convert the length of a single cut segment into inches.
11 foot =12= 12 inches; 12+5=1712 + 5 = 17 inches per segment.
The length of each cut segment must be in the same base unit as the total rod.
3
Calculate the total length of steel used for all 77 segments.
7×177 \times 17 inches =119= 119 inches.
This determines the total amount of material that will be removed from the original rod.
4
Subtract the total used length from the initial rod length.
168168 inches −119- 119 inches =49= 49 inches.
Subtracting the removed material from the starting material gives the final remaining length.

Anahtar Kavram

Converting multi-unit US Customary linear measurements to a common base unit to perform arithmetic operations.
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US Customary Linear Measurements

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