Triangular pyramid

It is given perpendicular regular triangular pyramid: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm3. What is its area (surface area)?

Correct answer:

S =  71.79 cm2

Step-by-step explanation:

a=5 cm h=8 cm V=28.8 cm3  h1=a2(a/2)2=52(5/2)24.3301 cm S1=2a h1=25 4.330110.8253 cm2  h22 = h2 + (h1/3)2 h2=h2+(h1/3)2=82+(4.3301/3)28.1292 cm  S2=2a h2=25 8.129220.3229 cm2  S=S1+3 S2=10.8253+3 20.322971.7941 cm2   Verifying Solution:  V2=31 S1 h=31 10.8253 828.8675 cm3 V2=V



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.
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

Related math problems and questions: