document.write( "Question 1078911: A rectangular prism has a square base, a height of 10 cm, and a surface area of 1,050 square cm. find its volume in liters. \n" ); document.write( "

Algebra.Com's Answer #693297 by ikleyn(52914) $\"\"$ $\"About$

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document.write( "Let x be the base square dimension, in centimeters.\r\n" );
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document.write( "Then the bottom base has the area , and the same for the top base.\r\n" );
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document.write( "The lateral surface area is 4*x*10 = 40x.\r\n" );
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document.write( "Therefore, your equation for the total surface area is\r\n" );
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document.write( " =   --->\r\n" );
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document.write( " = 0.\r\n" );
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document.write( "Use the quadratic formula to solve this quadratic equation. You will get the only positive root x = 15 cm.\r\n" );
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document.write( "Check.  = 450 + 600 = 1050 cm^2.  Correct.\r\n" );
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document.write( "Answer.  The volume is  = 3375 liters.\r\n" );
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