document.write( "Question 1154326: HELP HELP!
\n" ); document.write( "A container with lid is designed in the shape of a right rectangular prism with base dimensions 11.0 cm and 14.0 cm. Determine the volume of this container if its surface area (including the lid) is 500.0 cm2.\r
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Algebra.Com's Answer #776761 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "We just know almost everything to calculate the volume, except the height \" h \" of the prism.\r\n" );
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document.write( "So, our goal is to find the height.\r\n" );
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document.write( "The surface area is 500 cm^2.\r\n" );
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document.write( "From the other side, it is  2*11*14 + 2*11*h + 2*14*h.\r\n" );
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document.write( "So, you have this equation\r\n" );
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document.write( "    2*11*14 + 2*11*h + 2*14*h = 500.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    308 + 50h = 500\r\n" );
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document.write( "    50h = 500 - 308 = 192\r\n" );
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document.write( "      h             = 192/50 = 3.84.\r\n" );
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document.write( "Hence, the volume is  11*14*3.84 = 591.36 cm^3, or 591 cm^3  (rounded to nearest integer number, as requested).     ANSWER\r\n" );
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