Find the altitude of a regular tetrahedron whose volume is 486 square root of 2 cm^3.

Question

11-11-2016
Mathematics

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Find the altitude of a regular tetrahedron whose volume is 486 square root of 2 cm^3.

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taskmasters taskmasters · Answer 1 · 2016-11-15T08:05:18+01:00

taskmasters taskmasters

15-11-2016

Using the formula:
V = a^3 / 6 square root of 2
h = square root 2/3 x a

h = 2/3 x 3%
V^1/3 = 2/3 x 3% x 486^2/3 = 13.09348

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