In carpentry and construction, nail lengths are designated using the penny system, indicat… — Armed Services Vocational Aptitude Battery (ASVAB)

In carpentry and construction, nail lengths are designated using the penny system, indicated by the lowercase letter $\text{d}$ . According to standard pennyweight sizing rules for common nails up to $10\text{d}$ , what is the total length in inches of a $6\text{d}$ (6-penny) nail?

Answer: 2 inches

Answer

6\text{d}

nail is exactly

2.0\text{ inches}

long.

For standard common, box, and finishing nails from

2\text{d}

through

10\text{d}

, the length in inches increases by

\frac{1}{4}\text{ inch}

for each penny step:

\text{Length} = \frac{d}{4} + 0.5\text{ inches}

. Substituting

d = 6

yields

\frac{6}{4} + 0.5 = 1.5 + 0.5 = 2.0\text{ inches}

Step-by-Step Solution

Identify the penny size number (

d

) given in the problem.

d = 6

The question specifies a

6\text{d}

(6-penny) nail.

Apply the standard formula for converting penny size (

d

) to length in inches for nails up to

10\text{d}

\text{Length} = \frac{d}{4} + \frac{1}{2}

\text{Length} = \frac{6}{4} + \frac{1}{2} = 1.5 + 0.5 = 2.0\text{ inches}

Each penny increase represents a

\frac{1}{4}\text{-inch}

increase in length starting from a

2\text{d}

base of

1\text{ inch}

Key Concept

Penny (

d

) size conversion to physical nail length in inches

Estimated Time:45s

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Key Concept

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