document.write( "Question 1146171: The height of a rectangular box is 4 ft. The length is 1 ft longer than twice the width x. The volume is 312 ft cubed? \n" ); document.write( "

Algebra.Com's Answer #767451 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "V = lwh

\n" ); document.write( "h = 4
\n" ); document.write( "w = x
\n" ); document.write( "l = 2x+1

\n" ); document.write( "V = 312:
\n" ); document.write( " $\"4%28x%29%282x%2B1%29+=+312\"$
\n" ); document.write( " $\"x%282x%2B1%29+=+78\"$

\n" ); document.write( "That's a quadratic equation; solve it using your favorite method.

\n" ); document.write( "If an algebraic solution is not required, a little bit of mental arithmetic should allow you to find two numbers whose product is 78 that satisfy the condition that the larger is 1 more than twice the smaller.

\n" ); document.write( "78 and 1?
\n" ); document.write( "39 and 2?
\n" ); document.write( "26 and 3?
\n" ); document.write( "13 and 6? \n" ); document.write( "

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