Respuesta :
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:
The number of 50cm by 50cm by 50cm boxes which you could fit into the storage container are:
576 boxes.
Step-by-step 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:
[tex]n\times V'=V\\\\i.e.\\\\n=\dfrac{V}{V'}\\\\i.e.\\\\n=\dfrac{72}{0.125}[/tex]
i.e.
[tex]n=576[/tex]
Hence, the answer is: 576 boxes.