Answer:
The correct answer is c) 162 [tex]ft^{3}[/tex]
Step-by-step explanation:
We know that the height, width and length of the steps are identical. We also have the measures of a step. In order to calculate the cubic feet of concrete needed to create the stairwell we will need to calculate the volume of the stairwell.
The volume of one step is :
[tex]V_{step}=(6ft).(1.5ft).(3ft)=27ft^{3}[/tex]
Finally, we can imaginary subdivide the stairwell into 6 steps.
First we have a step. Then, we have two steps (one over each other). Finally, we have three steps (one over each other).
To calculate the volume of the stairwell, we can perfom the following calculation :
[tex]V_{stairwell}=6.(V_{step})[/tex]
[tex]V_{stairwell}=(6).(27ft^{3})=162ft^{3}[/tex]
We found out that the volume of concrete needed to create the stairwell is [tex]162ft^{3}[/tex]
