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  4. In a regular tetrahedron, the centres of the four faces are the vertices of a smaller tetrahedron. The ratio of the volume of the smaller tetrahedron to that of the larger is ( m / n ), where m and n are relatively prime positive integers. Find the value of (m+n).

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Q. In a regular tetrahedron, the centres of the four faces are the vertices of a smaller tetrahedron. The ratio of the volume of the smaller tetrahedron to that of the larger is $\frac{ m }{ n }$, where $m$ and $n$ are relatively prime positive integers. Find the value of $(m+n)$.

Vector Algebra

Solution:

Correct answer is '28'