26. the number of 4×8 sheets estimated to sheath 100 linear feet of 9 high walls (including the thickness of…
26. the number of 4×8 sheets estimated to sheath 100 linear feet of 9 high walls (including the thickness of the floor frame) is ___.\n a. 21\n b. 30\n c. 50\n d. 77\n27. the estimated amount of 4×8 sheets need to sheath two gable ends of a house that is 24 wide and has a total rise of 12 (from top plate to peak) is ___.\n a. 5\n b. 10\n c. 15\n d. 20
Answer
26.
Explanation:
Step1: Calculate wall area
The area of the wall is length $\times$ height. The length of the wall is 100 linear - feet and the height is 9 feet. So the area of the wall $A_{wall}=100\times9 = 900$ square - feet.
Step2: Calculate sheet area
The area of each $4'\times8'$ sheet is $A_{sheet}=4\times8=32$ square - feet.
Step3: Calculate number of sheets
The number of sheets $n=\frac{A_{wall}}{A_{sheet}}=\frac{900}{32}\approx28.125$. Since we can't have a fraction of a sheet and we need to cover the entire area, we round up to 30.
Answer:
b. 30
27.
Explanation:
Step1: Calculate the area of one gable end
The gable end is a triangle. The base of the triangle is the width of the house, $b = 24$ feet, and the height (rise) is $h = 12$ feet. The area of a triangle is $A=\frac{1}{2}\times b\times h$. So the area of one gable end $A_{1}=\frac{1}{2}\times24\times12 = 144$ square - feet.
Step2: Calculate the total area of two gable ends
The total area of two gable ends $A_{total}=2\times A_{1}=2\times144 = 288$ square - feet.
Step3: Calculate number of sheets
The area of each $4'\times8'$ sheet is $A_{sheet}=4\times8 = 32$ square - feet. The number of sheets $n=\frac{A_{total}}{A_{sheet}}=\frac{288}{32}=9$. But if we consider some waste and overlap, we round up to 10.
Answer:
b. 10