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Question Number 124169 by bramlexs22 last updated on 01/Dec/20

A long strip of sheet metal 12 inches  wide is to be made into a small   trough by turning up two   sides at right angles to the base   If trough is to have maximum  capasity^� , how many inches should be  turned up on each side?   (a) 6 in    (b) 4 in on one side, 5 in on the other  (c) 4 in    (d) 3 in

$${A}\:{long}\:{strip}\:{of}\:{sheet}\:{metal}\:\mathrm{12}\:{inches} \\ $$$${wide}\:{is}\:{to}\:{be}\:{made}\:{into}\:{a}\:{small}\: \\ $$$${trough}\:{by}\:{turning}\:{up}\:{two}\: \\ $$$${sides}\:{at}\:{right}\:{angles}\:{to}\:{the}\:{base}\: \\ $$$${If}\:{trough}\:{is}\:{to}\:{have}\:{maximum} \\ $$$${capasit}\bar {{y}},\:{how}\:{many}\:{inches}\:{should}\:{be} \\ $$$${turned}\:{up}\:{on}\:{each}\:{side}?\: \\ $$$$\left({a}\right)\:\mathrm{6}\:{in}\:\:\:\:\left({b}\right)\:\mathrm{4}\:{in}\:{on}\:{one}\:{side},\:\mathrm{5}\:{in}\:{on}\:{the}\:{other} \\ $$$$\left({c}\right)\:\mathrm{4}\:{in}\:\:\:\:\left({d}\right)\:\mathrm{3}\:{in}\: \\ $$

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