Question

if the boxes can be put in the trailer in any position what is the greatest number of boxes that will fit in the trailer. How many boxes will fit in the trailer if each box must be loaded. with 2 ft as the height

Answer 1

The volume of trailer is V = 180 cubic feet.

Determine the volume of one box, whose dimension is 3/2 ft by 4/3 ft by 2 ft.

`\begin{gathered} v=(3)/(2)\cdot(4)/(3)\cdot2 \\ =2\cdot2 \\ =4 \end{gathered}`

Determine the number of boxes that can be fit in trailer.

`\begin{gathered} n=(180)/(4) \\ =45 \end{gathered}`

So 45 boxes can be loaded in trailer.