document.write( "Question 155041: Please help me find the volume, to the nearest tenth, of a pyramid that is 6 feet tall and whose base is an equilateral triangle with sides each 10 feet long? \n" ); document.write( "
Algebra.Com's Answer #114140 by Earlsdon(6294)\"\" \"About 
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The volume of a regular pyramid is found by:
\n" ); document.write( "\"V+=+%281%2F3%29Bh\" where: B = area of the base and h = the height of the pyramid.
\n" ); document.write( "In this problem, \"B+=+sqrt%28S%28S-a%29%28S-b%29%28S-c%29%29\" using Heron's formuls for the area of a triangle when the three sides are known. S = Semi-perimeter = 30/2 = 15,
\n" ); document.write( "a = b = c = 10, so...
\n" ); document.write( "\"B+=+sqrt%2815%28125%29%29\"
\n" ); document.write( "\"B+=+sqrt%281875%29\"
\n" ); document.write( "\"B+=+43.3\"
\n" ); document.write( "So the volume of the pyramid is:
\n" ); document.write( "\"V+=+43.3%286%29%2F3\"
\n" ); document.write( "\"V+=+86.6\"Cubic feet.
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