06-09 Trapezoidal gutter of greatest capacity

Problem 06
A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges. If the base is 14 inches wide, what width across the top gives the greatest carrying capacity.

Solution 06

 

Problem 07
Solve Problem 06, if the strip is 13 inches wide and the base width 7 inches.

Solution 07

 

Problem 08
Solve Problem 06 if the strip is 9 inches wide and the base width 3 inches.

Solution 08

 

Problem 09
Solve Problem 06, if the strip width is w and the base width b.

Solution 09

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