document.write( "Question 1180628: A rectangular prism with a 6\"x6\" square base is tilted leftward at a 30^o
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Algebra.Com's Answer #810357 by Edwin McCravy(20066) $\"\"$ $\"About$

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A rectangular prism with a 6\"x6\" square base is tilted leftward at a 30^o
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\n" ); document.write( "inches of water does it contain?
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document.write( "Here is a picture of the front of the tilted rectangular prism. The\r\n" );
document.write( "horizontal line is the level of the water.\r\n" );
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document.write( "The number of cubic inches of water is the area of the right triangle times\r\n" );
document.write( "the 6 inches from the front surface of the container to the back surface.\r\n" );
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document.write( "As the other tutor said, it is a 30-60-90 right triangle. \r\n" );
document.write( "So the 3 sides are in the ratio 1:√3:2, shortest to longest.\r\n" );
document.write( "The longer leg is given as 6\", so we can find the shorter leg x by the\r\n" );
document.write( "proportion:\r\n" );
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document.write( "The area of the triangle is 1/2 times the product of the longer and shorter\r\n" );
document.write( "legs.  That's \r\n" );
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document.write( " square inches.\r\n" );
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document.write( "We multiply that by the distance from front surface to back surface, which\r\n" );
document.write( "is 6 inches, and the final answer is\r\n" );
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document.write( " cubic inches or about 62.35 cubic inches of water.\r\n" );
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document.write( "Edwin

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