Question

example problems of total surface area of tetrahedron

Answer 1

Each edge of a regular tetrahedron is of length 6 metre. Find its total surface area
solution------->




A regular tetrahedron is bounded by four congruent equilateral triangles. 

By question, each edge of the tetrahedron is of length 6 metre. 

Therefore, the total surface area of the tetrahedron

              = 4 × area of the equilateral triangle of side 6 metres

              = 4 × (√3)/4 ∙ 6² square metre 

              = 36√3 square metre