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 

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
The Pythagorean theorem is the base for the right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: