Triangular prism - regular

The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism.

Correct answer:

V =  36.3731 cm3
S =  83.1384 cm2

Step-by-step explanation:

v=3 cm h=7 cm  a2 = v2 + (a/2)2 4a2 = 4v2 + a2 3a2 = 4v2  a=v 2/3=3 2/3=2 3 cm3.4641 cm  S1=43 a2=43 3.46412=3 3 cm25.1962 cm2  V=S1 h=5.1962 7=21 3=36.3731 cm3
o=3 a=3 3.4641=6 3 cm10.3923 cm  S=2 S1+o h=2 5.1962+10.3923 7=48 3=83.1384 cm2

Try calculation via our triangle calculator.

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

Tips for related online calculators
See also our right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
Calculation of an equilateral triangle.
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: