Square pyramid

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

Correct result:

V =  18.0422 cm3

Solution:

s=5 cm A=60 cos(A)=(u/2)/s cos(A)=u/(2s) u=2 s cos(A rad)=2 s cos(A π180 )=2 5 cos(60 3.1415926180 )=5 cm a=u/2=5/23.5355 cm S=a2=3.53552=252=12.5 cm2 h=s sin(A rad)=s sin(A π180 )=5 sin(60 3.1415926180 )=4.33013 cm V=S h/3=12.5 4.3301/3=18.0422 cm3



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