Minimum packaging cost
Minimum packaging cost
7 marks
TGM Original
A sealed box has a square base of side x cm and volume 108 cm3. Base and lid material costs 2 cents per cm2; side material costs 1 cent per cm2. Find the dimensions that minimise material cost.
Solution:
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Answer:\(x=\sqrt[3]{54}\ \mathrm{cm},\quad h=2\sqrt[3]{54}\ \mathrm{cm}\).
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