Square pyramid

Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees.

Correct answer:

V =  18.0422 cm3

Step-by-step explanation:

s=5 cm α=60   cos α = (u/2) / s  cos α = u/(2s) u=2 s cosα=2 s cos60° =2 5 cos60° =2 5 0.5=5 cm a=u/2=5/23.5355 cm S=a2=3.53552=225=12.5 cm2 h=s sinα=s sin60° =5 sin60° =5 0.866025=4.33013 cm V=S h/3=12.5 4.3301/3=18.0422 cm3

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