Question

Stephen is packing boxes into the back of a truck, the empty space in the back of the truck is 245 cm (w) by 250 cm (h) by 890 cm (l). The boxes are identical and measure 50cm by 60cm by 80cm. They can be arranged in any way in the back of the truck. How will you arrange the boxes?

Answer 1

If we arrange the boxes in rectangular form, there would fit 227 boxes, approximately.

Explanation:

If we arrange the boxes in a rectangular form, it'd fit 227 boxes, approximately. We deduct this by comparing the volume of the empty space and the volume of each box.

Empty space.

`V= 245cm * 250 cm * 890 cm = 54,512,500 \ cm^(3)`

Each box volume.

`V_(box) =50cm * 60cm * 80cm = 240,000 \ cm^(3)`

We divide these volumes to find the number of boxes

`n=(54,512,500 \ cm^(3) )/(240,000 \ cm^(3) ) \approx 227`

Therefore, if we arrange the boxes in rectangular form, there would fit 227 boxes, approximately.