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ka1itlynRapui
ka1itlynRapui ka1itlynRapui
  • 14-10-2016
  • Mathematics
Answered

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

Verified Answer :

JcAlmighty
JcAlmighty JcAlmighty
  • 19-10-2016

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

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