document.write( "Question 1091209: Find the volume of the pyramid enclosed in the first octant by the origin and the intercepts of the plane x + 2y + z = 6. \n" ); document.write( "

Algebra.Com's Answer #705595 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The base of this pyramid at the plane y = 0 is an isosceles right-angled triangle with the legs of the length of 6 units.\r\n" );
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document.write( "So, its area is  = 18 square units.\r\n" );
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document.write( "The height of this pyramid is y-intercept and, therefore, has the length of 3 units.\r\n" );
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document.write( "Therefore, the volume of the pyramid is  = 18 cubic units.\r\n" );
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