document.write( "Question 1120713: Eliana wants to make a diorama or an art contest contest. SHE starts with a rectangular sheet of a cardboard box is 12 inches long and 8 inches wide. SHE PLANS to make the diorama box baby cute cutting identical squares from the corners and folding the sides to create a box with an open frontan open box front. \r
\n" ); document.write( "\n" ); document.write( "Describe how you could identify which points on a graph of v(x)=(12-2x)(8-2x)x correspond to a volume of 36 in. \n" ); document.write( "
Algebra.Com's Answer #736383 by stanbon(75887)\"\" \"About 
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Eliana wants to make a diorama or an art contest contest. SHE starts with a rectangular sheet of a cardboard box is 12 inches long and 8 inches wide. SHE PLANS to make the diorama box baby cute cutting identical squares from the corners and folding the sides to create a box with an open frontan open box front.
\n" ); document.write( "Describe how you could identify which points on a graph of v(x)=(12-2x)(8-2x)x correspond to a volume of 36 in.
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\n" ); document.write( "Solve:: v(x) = 36
\n" ); document.write( "x(2)(6-x)(2)(4-x) = 36
\n" ); document.write( "x(x-6)(x-4) = 9
\n" ); document.write( "x(x^2-10x+24) = 9
\n" ); document.write( "x^3-10x^2+24x-9 = 0
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\n" ); document.write( "Graph the cubic and find the roots of it.
\n" ); document.write( "x = 0 or x = 3 or x = 6.541..
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\n" ); document.write( "Since the dimensions of the box are x, 12-2x and 8-2x
\n" ); document.write( "only x = 3 would keep the dimensions positive.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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