Final answer:
To construct a 48-foot long wall with studs spaced 16 inches on center, 37 vertical studs are required. This accounts for a stud at each end of the wall and the conversion from feet to inches for the total wall length.
Step-by-step explanation:
To calculate the number of vertical studs needed for constructing a 48-foot long wall with studs spaced 16 inches on center, we first need to convert the total wall length from feet to inches. Each foot contains 12 inches, so 48 feet is equivalent to 48 × 12 = 576 inches. Since the studs are placed every 16 inches, we divide the total length in inches by the spacing between studs. To construct a 48-foot long wall with studs spaced 16 inches on center, 37 vertical studs are required.
This accounts for a stud at each end of the wall and the conversion from feet to inches for the total wall length. Then, 576 inches / 16 inches per stud = 36 studs. However, because you need a stud at each end of the wall, you should add one extra stud for the end. Thus, you would need 36 + 1 = 37 studs to construct the wall. For reference, the distance of 16 inches translates to approximately 40.64 centimeters (since 1 inch = 2.54 centimeters).