Quadrilateral pyramid

A regular quadrilateral pyramid has a volume of 24 dm3 and a base edge a = 4 dm.
Calculate:
a/height of the pyramid
b/sidewall height
c/surface of the pyramid

Correct result:

h =  4.5 dm
h2 =  4.9244 dm
S =  55.3954 dm2

Solution:

V=24 dm3 a=4 dm  S1=a2=42=16 dm2  V=13S1 h  h=3 VS1=3 2416=92=412=92 dm=4.5 dm
h2=h2+(a/2)2=4.52+(4/2)2=4.9244 dm
S2=a h22=4 4.92442=97 dm29.8489 dm2  S=S1+4 S2=16+4 9.8489=55.3954 dm2



We would be pleased if you find an error in the word problem or inaccuracies and send it to us. Thank you!



Showing 0 comments:
avatar




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

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

Related math problems and questions:

  • The quadrilateral pyramid
    jehlan_4b_obdelnik The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
  • Find the
    ihlan Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.
  • The regular
    ihlan_rez The regular quadrilateral pyramid has a volume of 24 dm3 and a height of 45 cm. Calculate its surface.
  • Quadrilateral pyramid,
    jehlan_4b_obdelnik A quadrilateral pyramid, which has a rectangular base with dimensions of 24 cm, 13 cm. The height of the pyramid is 18cm. Calculate 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid
  • The pyramid 4s
    jehlan_4b_obdelnik The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of length 13 dm. Calculate the surface area and volume of this pyramid.
  • Quadrilateral pyramid
    jehlan_1 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
  • Quadrilateral pyramid
    jehlan_4b_obdelnik_1 The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
  • Hexagonal pyramid
    jehlan_6 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.
  • 4side pyramid
    ihlany Calculate the volume and surface of 4 sides regular pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees.
  • Regular 4-sided pyramid
    jehlan Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
  • Pentagonal pyramid
    pentagon_1 The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid.
  • Quadrilateral pyramid
    ihlan_rez In a regular quadrilateral pyramid, the side edge is e = 7 dm and the diagonal of the base is 50 cm. Calculate the pyramid shell area.
  • The tent
    stan Calculate how much cover (without a floor) is used to make a tent that has the shape of a regular square pyramid. The edge of the base is 3 m long and the height of the tent is 2 m.
  • Base diagonal
    jehlan_4b_obdelnik In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid.
  • Volume and surface
    image001(1) Calculate the volume and surface area of the cylinder when the cylinder height and base diameter is in a ratio of 3:4 and the area of the cylinder jacket is 24 dm2.
  • Truncated pyramid
    komoly_jehlan The concrete pedestal in the shape of a regular quadrilateral truncated pyramid has a height of 12 cm, the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
  • A regular
    3sides_prism A regular triangular prism with a base edge of 20 dm and a height of 30 dm is given . Finf the volume of the prism and the area of the shell.