Jammed is building a two story house in which the top floor is 12feet above the bottom floor the local building code specifies that the hight of a step cannot be above 7.5 inches what is the maximum height of a step in a staircase that jammed can construct between the floors if all steps will have the same hight .
I'd go for 24 six-inch steps
i did am not really sure how u got that
12 ft ÷ 7.5 inches
= 144 inches ÷ 7.5 inches
= 19.2 steps
but the number of steps is a whole number.
if we have 19 steps each would be 144/19 or 7.598 inches high, which is too high
so we have to go with 20 steps, each one 7.2 inches high
thanks
To determine the maximum height of a step in the staircase, we need to convert the building code's specification from inches to feet. We then divide the height of the top floor (in feet) by the number of steps to find the maximum height for each step.
Given information:
- Height of the top floor: 12 feet
- Maximum height of a step according to building code: 7.5 inches
1. Convert the maximum height of a step from inches to feet:
- 7.5 inches = 7.5 / 12 feet (since there are 12 inches in a foot)
- 7.5 inches = 0.625 feet (approximately)
2. Determine the maximum height for each step by dividing the height of the top floor by the maximum height of a step:
- Maximum height for each step = 12 feet / 0.625 feet
- Maximum height for each step ≈ 19.2 (approximately)
Therefore, the maximum height of a step in the staircase that Jammed can construct, assuming all steps have the same height, is approximately 19.2 inches.