SOLUTION: A water trough is constructed by bending a 4- by 6-foot rectangular sheet of metal down the middle and attaching triangular ends (see the figure). If the volume of the trough is

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Question 734653: A water trough is constructed by bending a
4- by 6-foot rectangular sheet of metal down the middle and
attaching triangular ends (see the figure). If the volume of
the trough is 9 cubic feet, find the width correct to two decimal
places.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
bend in the middle . you will get an isosceles triangle .
The height of triangle will be %28sqrt%283%29%2F2%29+%2A2
=sqrt%283%29
Area of triangle = (1/2) * base * height
A= sqrt(3)/2 * base
Length = 6 feet

Volume of tank = 6*sqrt(3)/2 * base
9=sqrt(3)/2 * base
Base = width of tank = 6sqrt(3)