Question

A storage container at the arena is 3 metres wide, 6 metres long, 4 metres high. How many 50cm by 50cm by 50cm boxes could you fit into the storage container?

Answer 1

keeping in mind that there are 100cm in 1 meter.

the container is 300 cm by 600 cm by 400 cm, namely 72000000 cm³.

the boxes are 50 cm by 50 cm by 50 cm or 125000 cm³.

namely, how many times does 125000 go in to 72000000 ?

well, is just their quotient, 72000000 ÷ 125000.

Answer 2

The number of 50cm by 50cm by 50cm boxes which you could fit into the storage container are:

576 boxes.

Explanation:

The dimensions of the storage container are:

3 meters wide, 6 meters long, 4 meters high.

This means that the volume of the storage container is:

Volume(V)=3×6×4 cubic meters

i.e.

Volume(V)=72 cubic meters.

Also, the dimensions of the small box are:

50cm by 50cm by 50cm

which in meters will be:

0.50 meters by 0.50 meters by 0.50 meters

( Since, 1 meter= 100 cm

i.e. 1 cm=0.01 meters )

Hence, the volume of 1 box is:

Volume (V')=0.50×0.50×0.50

i.e. V'=0.125 cubic meters

Now, if n boxes could be fit into the storage container then we have:

`n* V'=V\\\\i.e.\\\\n=(V)/(V')\\\\i.e.\\\\n=(72)/(0.125)`

i.e.

`n=576`

Hence, the answer is: 576 boxes.