Question 1136805
<br>
The pyramid is a regular tetrahedron, with each face an equilateral triangle.<br>
The formula for the volume of a regular tetrahedron with edge length s is<br>
{{{V = (s^3*sqrt(2))/12}}}<br>
The formula for the area of an equilateral triangle with side length s is<br>
{{{A = (s^2*sqrt(3))/4}}}<br>
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.<br>
Ugly with pencil and paper; use a calculator if a decimal approximation is acceptable.