SOLUTION: The trough has trapezoidal ends which lie in parallel planes. The top of the trough is horizontal rectangle 6 ft by 16 ft and the depth of the trough is 4 ft. a.) How many cubic

Algebra ->  Volume -> SOLUTION: The trough has trapezoidal ends which lie in parallel planes. The top of the trough is horizontal rectangle 6 ft by 16 ft and the depth of the trough is 4 ft. a.) How many cubic      Log On


   



Question 1117113: The trough has trapezoidal ends which lie in parallel planes. The top of the trough is horizontal rectangle 6 ft by 16 ft and the depth of the trough is 4 ft.
a.) How many cubic feet of water does it contain when the depth of the water is 3 ft?
b.) What is the area covered by water (wet portion of the container) with this height?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
With the question as posted, there is not enough data to answer.
There must be more information about the shape of those trapezoidal ends.
The trough is 16-ft long with end that are parallel trapezoids.
It is a prism with height=16ft , and bases shaped like a trapezoid,
which by USA definition would look like this:

The problem is that we do not know how wide is that bottom %22x+%3F%22 ,
so we really do not know enough about the shape of the trough.
If I use x as the width (in ft) at the bottom of the trough,
the width at a height of 3 ft over the bottom depends on x
The area of the trapezoidal base becomes a polynomial function of x ,
and the answers are all functions of x .