1.

If volume of a regular tetrahedron of edge length k is V and shortest distance between any pair of opposite edges of same regular tetrahedron is d, then find the value of `d^3/V.`

Answer» Volume of tetrahedron` = k^3/(6sqrt2)`
k=edge length= `sqrt2*d`
`V= (d*sqrt2)^3/(sqrt2*6)`
Hence,`d^3/V= 3`


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