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 =  18.47 cm3
S =  48 cm2

Step-by-step explanation:

a=4 cm h=(a/2)tan60°=3.464 cm h2=h2+(a/2)2=4 cm  V=31a2h=18.47 cm3
S1=ah2/2=8 S=4S1+a2=48 cm2

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