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paulinmacau

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Aug 3, 2005
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Hello smart people!!
i have a question
i have a factory floor which measures 34.5sqm and need to know how many boxes which measure 10 3q inches x 11 1q inch x 6inches i will be able to stock on that floor
i am sure there is a very easy mathematical calculation that i could do to work it out but i am not that smart which is why i was hoping to enlist the help of all the smart people on this forum.

thanks in advance
Paul
 
I'm sorry, but I am unfamiliar with the unit "q inches". Please clarify, and explain the significance of the spacing. (For instance, "10-space-3-q inches"; what does this mean?) Also, please provide the actual dimensions of the volume you are trying to fill, as this will likely be necessary in considerations of orientation. When you reply, please include all of the steps you have attempted on this exercise.

Thank you.

Eliz.
 
okay like i say im not that smart but i will try
the dimensions of the box are 10.75 inches in length 11.75 inches in height and 6 inches in breadth
the size of the floor is 34.5 square meters
i would like to know how many boxes i can fit on the floor and stack on top of each other
the boxes will be fairly solidly full with not a lot of give
thanks in advance
Paul
 
Let me first say there are a couple things that we can't tell you. For example, you mention boxes being stacked on top of each other. Since we don't know how high the boxes can be stacked without hitting the ceiling or collapsing we can't say for sure how many can be stacked. However, it should be possible to figure out how many can fit on the floor itself.

That said, to get an exact answer we need to know the dimensions of the factory floor. That's because the boxes probably do not *exactly* fit on the floor. While the area may be 34.5 square meters, it could be an incredibly narrow floor that's really really long, but not even a single box would fit. There is no way to know *exactly* how many boxes will fit without knowing the exact dimensions of the room and looking carefully at the problem.

Here is the simple answer: Your floor has an area of 34.5 square meters. Let's convert that to square feet. 1 meter equals 3.28 feet, so one square meter equals 3.28 feet times 3.28 feet, or 10.76 square feet. That means that 34.5 square meters equals about 371 square feet.

Now we know the boxes have a base that measures 10.75 inches long by 6 inches wide. Let's convert those to feet as well: .896 feet by .500 feet. If we multiply length times width we can find the area, which in this case is .896 times .500 = .448 square feet per box.

Now that we know the area of the bottom of the box, we can rougly figure out how many boxes fit in the 371 square feet we have available. 371 divided by .448 = 828 boxes. That of course is an estimate because we don't know how tightly the boxes can be fit in the room since there may be a couple inches of extra space on either side.

Hope this helps,
Ted
 
Ok, so the boxes can only be stacked 4 high and the actual dimensions of the room are:6 metres in length and 5 metres in width (which i have just discovered 3 months after my initial question)
Would i be right in thinking i can have 541 boxes on the floor thus 2641 in total?

Thanks
Paul
 
Have you finally made up your mind, Paul :shock:

6 by 5 meters is 236.16 by 196.8 inches (using 1 meter = 3.28 feet = 39.36 inches);
let's make that 234 by 193.5 inches (234 / 6 = 39, 193.5 / 10.75 = 18);
boxes assumed stacked on the 6 by 10.75 surfaces, to get most possible;
39 * 18 = 702; since 4 high: 702 * 4 = 2808 boxes.

That's one way of obtaining a ballpark approximate number.
 
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