Hexagonal pyramid

Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm.

Correct answer:

V =  38.9711 cm3
S =  74.0951 cm2

Step-by-step explanation:

a=3 cm h=5 cm n=6  S0​=43​​⋅ a2=43​​⋅ 32≐3.8971 cm2 S1​=n⋅ S0​=6⋅ 3.8971≐23.3827 cm2 V=31​⋅ S1​⋅ h=31​⋅ 23.3827⋅ 5=38.9711 cm3
a2​=23​​⋅ a=23​​⋅ 3≐2.5981 cm h2​=a22​+h2​=2.59812+52​≐5.6347 cm S2​=2a⋅ h2​​=23⋅ 5.6347​≐8.4521 cm2 S=S1​+n⋅ S2​=23.3827+6⋅ 8.4521=74.0951 cm2

Try another example


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



Showing 1 comment:
Math student
Hexagonal pyramid

Side of hexagon = 7 cm
Height = 12 cm
Side of the triangle = 9 cm





Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
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:

Units of physical quantities:

Grade of the word problem:


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

Related math problems and questions: