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:
$V= \frac{ a^{3}}{6 \sqrt{2} } =$
$V = \frac{10 ^{3} }{6 \sqrt{2} } = \frac{1000}{6*1.41} = \frac{1000}{8.46} = 118.2 cm^{3}$ ≈ 118 cm³