An elevator is 5.5 ft long, 4.5 ft wide, and 7.2 ft high. How many cubic units of air are there per person if the maximum elevator capacity is 12 people?
divide the volume by 12
I assume you know how to calculate the volume of a rectangular prism (cuboid)
okay, thanks!
14.85 cubic units of air per person if each person gets the same amount of air.
To find the number of cubic units of air per person in the elevator, we first need to calculate the volume of the elevator. The volume of a rectangular cuboid can be found by multiplying its length, width, and height.
Given:
Length of elevator = 5.5 ft
Width of elevator = 4.5 ft
Height of elevator = 7.2 ft
Volume of the elevator = Length * Width * Height
Volume = 5.5 ft * 4.5 ft * 7.2 ft
Next, let's calculate the maximum capacity of the elevator, which is given as 12 people.
So, to find the volume of air per person, we divide the volume of the elevator by the maximum capacity.
Volume of air per person = Volume of elevator / Maximum capacity
Now let's substitute the values and calculate:
Volume = (5.5 ft) * (4.5 ft) * (7.2 ft) = 178.2 cubic ft
Maximum capacity = 12 people
Volume of air per person = 178.2 cubic ft / 12 people
Therefore, there are approximately 14.85 cubic ft of air per person in the elevator.