Final answer:
To provide common rafters for a 30'-long building with no overhang and constructed on 24'' centers, you will need 15 pieces of 16' lumber.
Step-by-step explanation:
To find the number of 16' pieces of lumber needed for the common rafters of a 30'-long building with no overhang and constructed on 24'' centers, we need to calculate the number of spaces between the rafters. The spaces between rafters can be calculated by dividing the length of the building by the spacing between them, which is 24''.
In this case, 30' divided by 2 feet (24'' is equal to 2 feet) gives us 15. Therefore, we will need 15 spaces between the rafters. Since each space requires a piece of lumber, we will need 15 pieces of 16' lumber.
So, the correct answer is 15.