How much larger?
Consider a regular tetrahedron with side length 1, and a regular icosahedron with side length 1. The icosahedron has more surface area, but how much more?
Submit your answer as the ratio of surface areas between the icosahedron and the tetrahedron.
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1 solution
Moderator note:
What about the ratio of their volumes?
The tetrahedron has 4 faces consisting of equilateral triangles of side length 1.
The icosahedron has 20 faces consisting of equilateral triangles of side length 1.
So each individual face has the same area. The total SA is therefore the ratio of the number of faces, which is 20:4 = 5:1.