MATH 1320 : Spring 2014
Bonus Lab
Lab Instructor : Kurt VanNess
Name:
Score:
Write all your solutions on a separate sheet of paper.
WRITE YOUR SOLUTIONS AS CLEARLY AS POSSIBLE! I WILL GIVE MORE CREDIT
TO THOSE WITH ORGANIZED WORK.
A long piece of galvanized sheet metal with width w is to be bent into a symmetric form with three straight
sides to make a rain gutter. A cross-section is shown on the board.
1. Determine the dimensions that allow the maximum possible flow; that is, find the dimensions that give
the maximum possible cross-sectional area.
2. Would it be better to bend the metal into a gutter with a semicircular cross-section?
Page 1 of 1