Triangular prism

The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 22 degrees, |AB| = 6 cm. Calculate the volume of the prism.

Correct answer:

V =  65.45 cm3

Step-by-step explanation:

a=6 cm h1=23a=5.196 cm  tan22°=h1h/2 h=2h1tan22°=25.196tan22°=4.199 cm S1=21ah1=2165.196=15.588 cm2 V=S1h=15.5884.199=65.45 cm3 

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