Answer and Explanation:
The closet is 4 1/2 feet long, 2 2/3 feet deep, and 6 feet tall
Since we are not given width of the closet, we assume the base of the closet has equal width and length = 4 1/2 feet(closet base is a square)
Closet is 2 2/3 feet deep and 6 feet tall, therefore closet height internal = 8 2/3 feet
a. How much carpeting will she need?
The carpeting needed for the closet = area of base of the closet(square base)= 4 1/2* 4 1/2 = 4.5*4.5= 20.25 square feet
b. The athletic director wants to store cube boxers that are 1/2 foot wide. How many boxers will the storage hold?
Area of base = 20.25
Area of base of each cube on the floor = 0.5*0.5= 0.25
So we know that the base of the closet will hold
20.25/0.25= 81 boxer cubes
Or we could straight to the point
Find volume of the closet( the closet is clearly a cuboid) and divide by the volume of one cube to find number of cubes that will fit into the closet
Volume of the closet/cuboid = l*w*h =4.5*4.5*8.67/0.25
=702.27
Therefore number of boxer cubes to fit in closet= 702
