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

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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.

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