how many pieces of 4 x 8 x 7/16\ osb will it take to sheath the walls of a 20 x 16 garage with 9…
how many pieces of 4 x 8 x 7/16\ osb will it take to sheath the walls of a 20 x 16 garage with 9 walls?\n10\n18\n20\n21
Answer
Explanation:
Step1: Calculate the total wall - area
The garage has two walls of dimensions $20'\times9'$ and two walls of dimensions $16'\times9'$. The area of the two $20'\times9'$ walls is $2\times(20\times9)=360$ square - feet. The area of the two $16'\times9'$ walls is $2\times(16\times9)=288$ square - feet. The total wall area $A = 360 + 288=648$ square - feet.
Step2: Calculate the area of one OSB sheet
The OSB sheet has dimensions $4'\times8'$, so the area of one OSB sheet $a=4\times8 = 32$ square - feet.
Step3: Calculate the number of OSB sheets
The number of OSB sheets $n=\frac{A}{a}=\frac{648}{32}=20.25$. Since we can't have a fraction of a sheet, we need to round up to 21 sheets.
Answer:
21