Find the

Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.

Correct answer:

S =  5539.5431 cm2

Step-by-step explanation:

V=24 dm3 cm3=24 1000  cm3=24000 cm3 h=45 cm  V=13 S1 h  S1=3 V/h=3 24000/45=1600 cm2  S1=a2  a=S1=1600=40 cm  (a/2)2+h2=h22  h2=(a/2)2+h2=(40/2)2+452=5 97 cm49.2443 cm  S2=a h22=40 49.24432=100 97 cm2984.8858 cm2  S=4 S2+S1=4 984.8858+1600=5539.5431 cm2



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






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.

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

Related math problems and questions:

  • 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
    jehlan3 In a regular quadrilateral pyramid, the height is 6.5 cm and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body. Round calculations to 1 decimal place.
  • Quadrilateral pyramid
    jehlan 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
  • 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.
  • 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.
  • Regular quadrilateral pyramid
    ihlan_rez What is the volume of a regular quadrilateral pyramid if its surface is 576 cm2 and the base edge is 16 cm?
  • 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
  • Quadrangular pyramid
    jehlan_4b_obdelnik Given is a regular quadrangular pyramid with a square base. The body height is 30 cm and volume V = 1000 cm³. Calculate its side a and its surface area.
  • Truncated pyramid
    truncated_pyramid Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, height v = 8 cm.
  • 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.
  • Quadrilateral pyramid
    jehlan_4b_obdelnik Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture.
  • Pyramid four sides
    jehlan_4b_obdelnik In a regular tetrahedral pyramid is a body height of 38 cm and a wall height of 42 cm. Calculate the surface area of the pyramid; the result round to square centimeters.
  • Pentagonal pyramid
    pentagon 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
    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
  • Quadrilateral pyramid
    jehlan_4b_obdelnik Calculate the surface of a quadrilateral pyramid, which has a rectangular base with dimensions a = 8 cm, b = 6 cm and height H = 10 cm.
  • Cone - from volume surface area
    kuzel_rs The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone?
  • Quadrilateral prism
    hranol The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.