A stairway with 16 risers has a total of 9 feet 2 inches between finished floors. What is the rise per unit?

To find the rise per unit for a stairway, you need to take the total vertical height between the finished floors and divide it by the number of risers. In this scenario, the total height is 9 feet 2 inches, which needs to be converted entirely into inches for consistency. One foot equals 12 inches, so:

9 feet = 9 x 12 = 108 inches

Adding the additional 2 inches gives a total height of:

108 inches + 2 inches = 110 inches.

Now, to determine the rise per unit, divide the total height (110 inches) by the number of risers (16):

110 inches ÷ 16 risers = 6.875 inches.

In fractional form, 6.875 inches can be expressed as 6 7/8 inches. This calculation shows that each riser has a rise of 6 7/8 inches, which aligns with the choice provided in the answer.

Understanding the rise per unit is essential in construction and building design, as it helps ensure that stairs are not only functional but also safe for use. This dimension must adhere to local building codes which usually stipulate a maximum height for each riser to facilitate comfortable ascent and descent