Hexagonal pyramid

Regular hexagonal pyramid has dimensions: length edge of the base a = 1.8 dm and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.

Correct answer:

S =  23.8716 dm2
V =  6.7342 dm3

Step-by-step explanation:

a=1.8 dm v=2.4 dm h1=a 3/2=1.8 3/21.5588 dm h2=v2+h12=2.42+1.558822.8618 dm  S1=a h1/2=1.8 1.5588/21.403 dm2 S2=6 S1=6 1.4038.4178 dm2 S3=a h2/2=1.8 2.8618/22.5756 dm2 S=S2+6 S3=8.4178+6 2.5756=23.8716 dm2
V=31 S2 v=31 8.4178 2.4=6.7342 dm3



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



avatar







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

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

Related math problems and questions: