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 = \(4\frac{1}{2}\) feet
Breadth = 2 feet,
And, height = 4 feet,
Thus, the volume of each box
\(=4\times \frac{1}{2}\times 2\times 4= \frac{9}{2}\times 8=\frac{72}{2}=36\) cubic feet,
Since,
\(\text{ The number of boxes that can fit inside the closet}=\frac{\text{ The volume of closet}}{\text{ The volume of each box}}\)
\(=\frac{185}{36}= 5.1389 \approx 5\)
⇒ She can fit approximately 5 boxes into the closet.
