(i) The base of an open rectangular box is square and its volume is ` 256 cm^(3)`. Find the dimensions of this box if we want to use least material fo

Monjur Alahi

(i) The base of an open rectangular box is square and its volume is ` 256 cm^(3)`. Find the dimensions of this box if we want to use least material for construction:
(ii) A window is in the form of a rectangle surmounted by a semi-circle. Its perimeter is 40m. Find the dimensions of this window from which maximum light can admit.


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Salim Ahmed Kawsar

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Correct Answer - (i) 8 cm, 8 cm, 4 cm
(ii) Length = `80/(pi+4)" metre, Breadth "40/(pi+4)" metre,Radius "40/(pi+4)` metre

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