Triangular pyramid

Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm.

Correct result:

V =  415.6922 cm3

Solution:

a=12 cm v=20 cm  S1=34⋅ a2=34⋅ 122=36 3 cm2≐62.3538 cm2  V=13⋅ S1⋅ v=13⋅ 62.3538⋅ 20=240 3=415.6922 cm3

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Mathematican
the base is an equilateral triangle, the formula can be found in tables or online.

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