What is the surface area of a regular tetrahedron with side a?
| February 24, 2021 | education
A regular tetrahedron is a polyhedron whose faces are regular triangles. Since a tetrahedron has four faces, its surface area is equal to four times the area of a regular triangle with side a.
The area of a regular triangle is S = a²√3 / 4, hence the area of a regular tetrahedron is a²√3.
Answer: the surface area of a regular tetrahedron with side a is equal to a²√3.
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