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=3/4 a2=3/4 323.8971 cm2 S1=n S0=6 3.897123.3827 cm2 V=S1 h/3=23.3827 5/3=38.9711 cm3
a2=3/2 a=3/2 32.5981 cm h2=a22+h2=2.59812+525.6347 cm S2=a h2/2=3 5.6347/28.4521 cm2 S=S1+n S2=23.3827+6 8.4521=74.0951 cm2



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

avatar









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

  • Regular hexagonal pyramid
    hexa_pyramid Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture.
  • Hexagon
    hexa_prism Calculate the regular hexagonal prism's surface whose base edge a = 12cm and side edge b = 3 dm.
  • Hexagonal pyramid
    hex_pyramid Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture.
  • Hexagonal prism
    hexa_prism The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
  • Hexagonal pyramid
    hexa_pyramid Calculate the volume and surface area of a regular hexagonal pyramid with a base edge a = 30 m and a side edge b = 50 m.
  • Hexagonal pyramid
    jehlan 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.
  • Hexagonal pyramid
    hexa_pyramid Find the volume of a regular hexagonal pyramid, the base edge of which is 12 cm long and the side edge 20 cm.
  • Hexagonal pyramid
    hexa_pyramid Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
  • Wall height
    hexa_pyramid Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm.
  • Hexagonal pyramid
    hexa_pyramid Find the area of a shell of the regular hexagonal pyramid, if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm.
  • Triangular pyramid
    tetrahedron1 Calculate the volume and surface area of a regular triangular pyramid with height equal to the base edge 10 cm length.
  • Hexagon cut pyramid
    pravkomoly Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
  • Tetrahedral pyramid
    jehlan A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area).
  • Quadrilateral pyramid
    jehlan We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base content 2/casing content 3/pyramid surface 4/volume of the pyramid
  • Regular quadrilateral pyramid
    pyramid Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm.
  • 9-gon pyramid
    9gon+Base+cone Calculate the volume and the surface of a nine-sided pyramid, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm.
  • Hexagonal pyramid
    hexagonal-pyramid The base of the pyramid is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.