Pyramid practice problems - page 5 of 14
Number of problems found: 267
- Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Triangular pyramid
Calculate the volume of a regular triangular pyramid with edge length a = 12 cm and pyramid height v = 20 cm. - Roof metal consumption
The roof is a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses. - Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area. - 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. - Hexagonal pyramid
The pyramid's base 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. - Hexagonal pyramid tank
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm. - Pyramid volume surface
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Quadrilateral pyramid 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
- Pyramid weight calculation
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Pyramid surface calculation
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°. - Pyramid volume calculation
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm. - Church roof
The roof of the church tower has the shape of a regular tetrahedral pyramid with a base edge length of 5.4 meters and a height of 5 m. It was found that the 27% covering of the roof area needs to be corrected. What amount of material will be required? - Pyramid
The pyramid has a base a = 2cm and height in v = 7 cm. a) calculate the angle between plane ABV and the base plane b) Calculate the angle between the edges on the opposite side. - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Hexagonal wax
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - How to
How can the total surface of a rectangular pyramid be found if each face is 8 dm high and the base is 10 dm by 6 dm? - Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm.
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