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 $(m + n)$ .

339 97 Vector Algebra Report Error

Answer: 28

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 nm​, where m and n are relatively prime positive integers. Find the value of (m+n).