Answer: She can fit approximately 5 boxes into the closet.
Step-by-step explanation:
Since, The volume of the closet = 185 cubic feet,
While, the dimension of each box which is fit into the closet are,
Length = [tex]4\frac{1}{2}[/tex] feet
Breadth = 2 feet,
And, height = 4 feet,
Thus, the volume of each box
[tex]=4\times \frac{1}{2}\times 2\times 4= \frac{9}{2}\times 8=\frac{72}{2}=36[/tex] cubic feet,
Since,
[tex]\text{ The number of boxes that can fit inside the closet}=\frac{\text{ The volume of closet}}{\text{ The volume of each box}}[/tex]
[tex]=\frac{185}{36}= 5.1389 \approx 5[/tex]
⇒ She can fit approximately 5 boxes into the closet.
