A rectangular building measures 64′ in length and 32′ in width. If the wall studs will be spaced at 16″ OC, what would be the total number of studs needed for the exterior wall of this building?
A. 186
B. 212
C. 204
***D. 192
I believe the answer to be 192. Would you agree?
For a basic 16-inch OC layout on a stud wall, you can simply make a mark every time you see a red number: 16, 32, 48, 64, 80, 96, etc. Then, you place the studs on the same side of each mark; if you measured from left to right, the studs would go on the right side of each mark.
I am still not understanding.
To find the total number of studs needed for the exterior wall of the building, we first need to determine how many studs are needed for the length and width separately.
For the length:
The length of the building is 64′. Since the studs will be spaced at 16″ OC (on center), we need to divide the length by the spacing to find the number of stud intervals.
Number of stud intervals = Length / Spacing
= 64′ / 16″
= 4 intervals
Since each interval requires one stud, the number of studs needed for the length of the building is also 4.
For the width:
The width of the building is 32′. Applying the same calculations as above, we find:
Number of stud intervals = Width / Spacing
= 32′ / 16″
= 2 intervals
Again, each interval requires one stud, so the number of studs needed for the width of the building is 2.
Now, to find the total number of studs needed, we add the number of studs needed for the length (4) to the number of studs needed for the width (2):
Total number of studs needed = Number of studs for length + Number of studs for width
= 4 + 2
= 6
Therefore, the total number of studs needed for the exterior wall of the building is 6. As none of the given options match this result, there seems to be an error in the question or the options provided.
To calculate the total number of studs needed for the exterior wall of the building, we need to determine the number of studs required along the length and width of the wall.
First, let's focus on the length of the wall.
The wall measures 64 feet, and the studs are spaced 16 inches on center (OC). To calculate the number of studs along the length, we can use the following formula:
Number of studs = (Length / Spacing) + 1
In this case:
Length = 64 feet
Spacing = 16 inches
To convert 64 feet to inches, we multiply by 12 (since there are 12 inches in a foot):
Length in inches = 64 feet * 12 inches/foot = 768 inches
Now, using the formula:
Number of studs along the length = (768 inches / 16 inches) + 1
= 48 + 1
= 49 studs
Next, let's consider the width of the wall.
The wall measures 32 feet, and the studs are spaced 16 inches on center (OC). Applying the same formula:
Width in inches = 32 feet * 12 inches/foot = 384 inches
Number of studs along the width = (384 inches / 16 inches) + 1
= 24 + 1
= 25 studs
To find the total number of studs, we multiply the number of studs along the length and width:
Total number of studs = Number of studs along the length * Number of studs along the width
= 49 studs * 25 studs
= 1225 studs
Therefore, the correct answer is not 192, but rather 1225 studs. It seems there might be an error in the provided options.