216 surface area and volume

Calculate the surface area and volume of a regular tetrahedral pyramid with base edge a = 6 cm and height of 12 cm.

Final Answer:

V =  144 cm3
S =  184.4318 cm2

Step-by-step explanation:

a=6 cm h=12 cm  S1=a2=62=36 cm2  V=31 S1 h=31 36 12=144 cm3
h22 = h2+(a/2)2 h2=h2+(a/2)2=122+(6/2)2=3 17 cm12.3693 cm S2=21 a h2=21 6 12.3693=9 17 cm237.108 cm2  S=S1+4 S2=36+4 37.108=184.4318 cm2



Help us improve! If you spot a mistake, please let let us know. Thank you!







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

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

arithmeticsolid geometryplanimetryUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: