Which of the following is the total number of whole boxes that measure 2.5 ft * 2.5 ft * 2.5 ft that can be stored in a room that measures 12 ft * 12 ft * 12 ft, if the size of the boxes cannot be altered?
A. 111
B. 105
C. 150
D. 120
The number of boxes to fit the room is found as volume of the room divided by the volume of the box.
Number of boxes:
\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)
The approximate number of boxes that can be stored in the room is approximately 111 square feet.
Therefore, the Correct Answer is A.