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

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Question:

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

Answers

The answer is 118 cm³The volume of tetrahedron (V), where a is its altitude, can be expressed as:[tex]V= \frac{ a^{3}}{6 \sqrt{2} } =[/tex][tex]V = \frac{10 ^{3} }{6 \sqrt{2} } = \frac{1000}{6*1.41} = \frac{1000}{8.46} = 118.2 cm^{3} [/tex] ≈ 118 cm³

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