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# A4 paper is 210mm x 297mm. Its packed in packets of 5cm thick.What is the maximum number of packets that could be stacked under a worktop 600mm wide , 900mm high and 3m long?

Question #19046. Asked by Me. (May 14 02 5:34 PM)

Roxanne33

.21m X .297m X .05m = .0031185 cubic meter

.6m X .9m X 3m = 1.62 cubic meter

1.62m devided by .0031185 = 519.48051 so the answer is 519 packages.

If you can cut the packages but in fact you can put 18 packages high in two rows and 14 packages in depth so the answer is 504 packages.

Was I clear? I'm not sure.

 May 14 02, 6:42 PM
Demios

The THEORETICAL maximum is indeed 519 packs. However, this could never be achieved in practice without damaging, cutting or bending the packs and I don't think this is the point. If they have to be stacked flat the maximum is 504 packs, i.e. 2 x 297mm on the 600mm width, 18 x 50mm on the 900mm height and
14 x 210mm on the 3000mm length. 2 x 18 x 14 = 504.
If you can stack on end as well the probable maximum is 512 packs
i.e. exactly as above but you have and end volume which is 60mm wide x 600mm deep x 900mm high. Into this you can fit 1 x 50mm into the 60mm width, 2 x 297mm into the 600mm depth and 4 x 210mm into the 900mm height, which is an extra 8 giving 504 + 8 = 512 packs.
Can this be bettered?...I need a drink!

 May 14 02, 7:21 PM

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