Question

Find the volume of a regular tetrahedron whose altitude measures 10 cm.

Answer 1

The answer is 118 cm³

The volume of tetrahedron (V), where a is its altitude, can be expressed as:

`V= ( a^(3))/(6 √(2) ) =`

`V = (10 ^(3) )/(6 √(2) ) = (1000)/(6*1.41) = (1000)/(8.46) = 118.2 cm^(3)` ≈ 118 cm³