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a wall erected on a concrete slab with a 8-1\ ceiling height using 2 x …

Question

a wall erected on a concrete slab with a 8-1\ ceiling height using 2 x 6 stock with 5/8\ gypsum - board ceiling requires studs with what length?
91\
92 - 1/8\
93 - 1/8\
94\

Explanation:

Step1: Convert ceiling height to inches

1 foot = 12 inches, so 8 feet = 8×12 = 96 inches. The ceiling height is 8' - 1" which is 96 + 1=97 inches.

Step2: Subtract gypsum - board thickness

The gypsum - board ceiling has a thickness of 5/8" = 0.625 inches. We also need to account for the top and bottom plates of the wall. A 2x6 stud has a nominal thickness of 1.5 inches for the top and bottom plates combined.
The length of the stud \(L=97 - 0.625- 1.5\times2\)
\[

$$\begin{align*} L&=97 - 0.625 - 3\\ &=93.375\\ &=93\frac{1}{8} \end{align*}$$

\]

Answer:

93 - 1/8"