Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 4 cm.

Correct result:

h =  3.27 cm
V =  7.11 cm3

Solution:

a=4 cm h12=a2(a/2)2  h1=63 43.266 cm  a2=h2+(2/3 h1)2  h=a2(2/3 h1)2=42(2/3 3.266)23.266   Verifying Solution:  h=h1=3.266=3.27 cm
S1=a h12=4 3.26626.532 cm2  V=13 S1 h=13 6.532 3.266=6497.1111=7.11 cm3   Verifying Solution:   V1=212 a3=212 437.5425 cm3



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