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Question Number 52182 by mr W last updated on 04/Jan/19

Commented by mr W last updated on 04/Jan/19

A container in the form of a pyramid  should be formed using three steel  plates. The openng is a triangle with  sides a,b,c. The volume of the container  is V.  Find the side lengthes of the steel plates,  such that they need minimal material  to form the container.

$${A}\:{container}\:{in}\:{the}\:{form}\:{of}\:{a}\:{pyramid} \\ $$$${should}\:{be}\:{formed}\:{using}\:{three}\:{steel} \\ $$$${plates}.\:{The}\:{openng}\:{is}\:{a}\:{triangle}\:{with} \\ $$$${sides}\:{a},{b},{c}.\:{The}\:{volume}\:{of}\:{the}\:{container} \\ $$$${is}\:{V}. \\ $$$${Find}\:{the}\:{side}\:{lengthes}\:{of}\:{the}\:{steel}\:{plates}, \\ $$$${such}\:{that}\:{they}\:{need}\:{minimal}\:{material} \\ $$$${to}\:{form}\:{the}\:{container}. \\ $$

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