document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "a.) How many cubic feet of water does it contain when the depth of the water is 3 ft?
\n" ); document.write( "b.) What is the area covered by water (wet portion of the container) with this height? \n" ); document.write( "

Algebra.Com's Answer #732091 by KMST(5328) $\"\"$ $\"About$

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With the question as posted, there is not enough data to answer.
\n" ); document.write( "There must be more information about the shape of those trapezoidal ends.
\n" ); document.write( "The trough is 16-ft long with end that are parallel trapezoids.
\n" ); document.write( "It is a prism with $\"height=16ft\"$ , and bases shaped like a trapezoid,
\n" ); document.write( "which by USA definition would look like this:
\n" ); document.write( "

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

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