a. An isosceles trapezoidal drainage gutter is to be made so that the angles at A and B in the cross-section ABCD are each 120°. If the 5 m long sheet of metal that has to be bent to form the open-topped gutter and the width of the sheet of metal is 60 cm, then determine the dimensions so that the cross-sectional area will be a maximum. D AB 245m→ b. Calculate the maximum volume of water that can be held by this gutter.

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Chapter1: Functions And Models
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a. An isosceles trapezoidal drainage gutter is to be made so that the angles at A
and B in the cross-section ABCD are each 120°. If the 5 m long sheet of metal
that has to be bent to form the open-topped gutter and the width of the sheet
of metal is 60 cm, then determine the dimensions so that the cross-sectional
area will be a maximum.
D
215m→
A B
b. Calculate the maximum volume of water that can be held by this gutter.
Transcribed Image Text:a. An isosceles trapezoidal drainage gutter is to be made so that the angles at A and B in the cross-section ABCD are each 120°. If the 5 m long sheet of metal that has to be bent to form the open-topped gutter and the width of the sheet of metal is 60 cm, then determine the dimensions so that the cross-sectional area will be a maximum. D 215m→ A B b. Calculate the maximum volume of water that can be held by this gutter.
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