document.write( "Question 1136805: A pyramid has a triangle base and all edges in the pyrimaid are equal. If the volume is 90 what is the area of the base \n" ); document.write( "
Algebra.Com's Answer #754685 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The pyramid is a regular tetrahedron, with each face an equilateral triangle.

\n" ); document.write( "The formula for the volume of a regular tetrahedron with edge length s is

\n" ); document.write( "\"V+=+%28s%5E3%2Asqrt%282%29%29%2F12\"

\n" ); document.write( "The formula for the area of an equilateral triangle with side length s is

\n" ); document.write( "\"A+=+%28s%5E2%2Asqrt%283%29%29%2F4\"

\n" ); document.write( "Use the given volume in the volume formula to solve for the edge length s; then substitute into the area formula to find the area of the base.

\n" ); document.write( "Ugly with pencil and paper; use a calculator if a decimal approximation is acceptable.
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