216 surface area and volume

Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm.

Correct answer:

V =  144 cm3
S =  184.4318 cm2

Step-by-step explanation:

a=6 cm h=12 cm  S1=a2=62=36 cm2  V=31 S1 h=31 36 12=144 cm3
h2=h2+(a/2)2=122+(6/2)2=3 17 cm12.3693 cm S2=21 a h2=21 6 12.3693=9 17 cm237.108 cm2  S=S1+4 S2=36+4 37.108=184.4318 cm2



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