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Let  be the areas of the triangular faces of a tetrahedron, and  be the corresponding altitude of the tetrahedron. If volume of tetrahedron is 1/6 cubic units, then find the minimum value of  (in cubic units)


Question ID - 153283 | Toppr Answer

Let  be the areas of the triangular faces of a tetrahedron, and  be the corresponding altitude of the tetrahedron. If volume of tetrahedron is 1/6 cubic units, then find the minimum value of  (in cubic units)

1 Answer - 5876 Votes

3537

Answer Key : (8) -

(8)

Volume (V)

Similarly  and

So 

Now using A.M.-H.M. inequality in , we get

Hence the minimum value of



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