Calculate 36253

Calculate the volume of the pyramid, whose base edge a = 8 cm, and the sidewall makes an angle α = 60 ° with the square base.

Correct answer:

V =  147.8017 cm3

Step-by-step explanation:

a=8 cm A=60  tan(A)=h:(a/2)  h=a/2 tan(A° rad)=a/2 tan(A° 180π )=8/2 tan(60° 1803.1415926 )=6.9282 cm  S=a2=82=64 cm2  V=S h/3=64 6.9282/3=147.8017 cm3

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