# Tetrahedron

What is the ratio of the volume of a tetrahedron A to the volume of that tetrahedron B which is formed by joining the centroids of the four triangles forming the tetrahedron A?

Note by Alekhya China
2 years ago

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Note that tetrahedrons A and B are similar and B is smaller by a factor of 3.

Hence, the required ratio is $$3^3=\boxed{27}$$

- 2 years ago