What is the length of wall studs when the finished floor-to-ceiling height is 8′, ceiling material is ¾″ thick, the finished floor is ¾″ thick, and it's framed with three plates?
A. 7′9″
B. 8′1½″
C. 8′
***D. 7′7½″
My instructor told me the value of the plates is 1 1/2". So, the answer I think is D, would you agree?
To determine the length of the wall studs, we need to take into account the finished floor-to-ceiling height, the thickness of the ceiling material, the thickness of the finished floor, and the three plates.
Starting with the finished floor-to-ceiling height of 8′, we then subtract the thickness of the ceiling material (¾″) and the thickness of the finished floor (¾″):
8′ - (¾″ + ¾″) = 8′ - 1½″ = 8′ - 1.5′
Next, we need to account for the three plates, each with a thickness of 1½″. Therefore, we subtract an additional 4½″ (3 plates at 1½″ each):
8′ - 1.5′ - 4.5″ = 8′ - 1.5′ - 0.375′ = 8′ - 1.875′
Now, we need to convert the remaining fraction to inches. Since 1 foot is equal to 12 inches, we multiply 0.875′ by 12:
0.875′ * 12 = 10.5″
Finally, we subtract 1.875′ (or 1′ 10.5″) from 8′:
8′ - 1.875′ = 8′ - (1′ 10.5″) = 7′9.5″
Therefore, the correct answer is A. 7′9.5″, not D. 7′7.5″ as you suggested.