document.write( "Question 936658: A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? \n" ); document.write( "

Algebra.Com's Answer #570120 by Fombitz(32388) $\"\"$ $\"About$

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For a rectangle, the perimeter is,
\n" ); document.write( " $\"P=2%28L%2BW%29\"$
\n" ); document.write( " $\"2%28L%2BW%29=28\"$
\n" ); document.write( " $\"L%2BW=14\"$
\n" ); document.write( "The volume of a rectangular solid is,
\n" ); document.write( " $\"V=L%2AW%2A5\"$
\n" ); document.write( " $\"V=5WL\"$
\n" ); document.write( "From the perimeter equation,
\n" ); document.write( " $\"L=14-W\"$
\n" ); document.write( "Substitute,
\n" ); document.write( " $\"V=5W%2814-W%29\"$
\n" ); document.write( " $\"V=70W-W%5E2\"$ \n" ); document.write( "

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