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
Would the answer be 192?
To find the total number of studs needed for the exterior wall of the building, we first need to calculate the number of studs required for each side of the building separately.
1. Calculate the number of studs for the length of the building:
- The length of the building is given as 64'.
- The wall studs will be spaced at 16"OC (on center), which means there will be a stud every 16 inches.
- Convert the length of the building from feet to inches: 64' * 12 = 768".
- Divide the length of the building in inches by the spacing between studs: 768" / 16" = 48 studs.
2. Calculate the number of studs for the width of the building:
- The width of the building is given as 32'.
- Using the same formula, convert the width of the building from feet to inches: 32' * 12 = 384".
- Divide the width of the building in inches by the spacing between studs: 384" / 16" = 24 studs.
3. Calculate the total number of studs needed by adding the number of studs for each side:
- Total number of studs = number of studs for the length + number of studs for the width.
- Total number of studs = 48 studs + 24 studs = 72 studs.
Therefore, the correct answer is not among the options provided. The correct answer would be 72 studs.
To determine the total number of studs needed for the exterior wall of the building, we first need to calculate the total length of the wall. The wall studs will be spaced at 16" OC (on center), which means that the distance between each stud will be 16 inches.
The length of the building is given as 64 feet, so we need to convert it to inches to match the measurement unit of the stud spacing. There are 12 inches in a foot, so 64 feet is equal to 64 * 12 = 768 inches.
Next, we divide the total length of the wall by the spacing between the studs. In this case, 768 inches / 16 inches = 48 studs.
However, we also need to account for the vertical studs on the ends of the wall, which are not included in the previous calculations. For the width of the building, which is 32 feet or 32 * 12 = 384 inches, we divide by the stud spacing: 384 inches / 16 inches = 24 studs on each end.
Therefore, the total number of studs needed for the exterior wall of the building is 48 studs for the length + 24 studs on each end = 48 + 24 + 24 = 96 studs.
Based on the options provided, the correct answer would be D. 192 studs.