4side pyramid

Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees.

Correct answer:

V =  18.48 cm3
S =  48 cm2

Step-by-step explanation:

a=4 cm α=60   h=2a tanα=2a tan60° =24 tan60° =24 1.732051=3.4641 cm  h2=h2+(a/2)2=3.46412+(4/2)2=4 cm  V=31 a2 h=31 42 3.4641=18.48 cm3
S1=2a h2=24 4=8 cm2 S=4 S1+a2=4 8+42=48 cm2



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