Question Number 226097 by Jubr last updated on 18/Nov/25
I have multiple rectangular boxes
whose sides are x and y. I need to
fit n such boxes into a larger
rectangular box whose sides are
X and Y. Now, find the values of X
and Y such that the area of the
larger box is minimum.
whose sides are x and y. I need to
fit n such boxes into a larger
rectangular box whose sides are
X and Y. Now, find the values of X
and Y such that the area of the
larger box is minimum.
Commented by mr W last updated on 19/Nov/25
$${if}\:{you}\:\left({can}\right)\:{put}\:{n}\:{small}\:{boxes}\: \\ $$$${together}\:{to}\:{form}\:{a}\:{larger}\:{box}.\:{the} \\ $$$${area}\:{of}\:{the}\:{larger}\:{box}\:{is}\:{always}\:{the} \\ $$$${sum}\:{of}\:{the}\:{areas}\:{of}\:{the}\:{smaller}\:{ones}. \\ $$$${XY}={nxy}. \\ $$$${therefore}\:“{such}\:{that}\:{the}\:{area}\:{of}\:{the} \\ $$$${larger}\:{box}\:{is}\:{minimum}''\:{is}\:{not} \\ $$$${correct}.\: \\ $$$${please}\:{recheck}\:{your}\:{question}! \\ $$