Triangular pyramid

Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm

Correct answer:

V =  1848.4228 cm3
S =  1179.4357 cm2

Step-by-step explanation:

a=20 cm b=35 cm  a2=a/2=20/2=10 cm h1=b2a22=352102=15 5 cm33.541 cm h=h12a22=33.5412102=5 41 cm32.0156 cm  S1=a h1/2=20 33.541/2=150 5 cm2335.4102 cm2 S2=43 a2=43 202=100 3 cm2173.2051 cm2  V=31 S2 h=31 173.2051 32.0156=1848.4228 cm3
S=3 S1+S2=3 335.4102+173.2051=1179.4357 cm2

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

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

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