SOLUTION: 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
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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
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The pyramid is a regular tetrahedron, with each face an equilateral triangle.
The formula for the volume of a regular tetrahedron with edge length s is
The formula for the area of an equilateral triangle with side length s is
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.
Ugly with pencil and paper; use a calculator if a decimal approximation is acceptable.
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