Volume of Pyramid Problems - page 5 of 8
Number of problems found: 156
- Tetrahedral pyramid 8 
 Let all the side edges of the tetrahedral pyramid ABCDV be equally long and its base let us be a rectangle. Find its volume if you know the deviations A=40° B=70° between the planes of adjacent sidewalls and the base plane. The height of the pyramid is h= - Quadrilateral  16603  
 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. - Pyramid-shaped  15643  
 The regular quadrilateral pyramid-shaped casting, with a base edge 60 cm in length and 5 cm in height, is made of a material density of 7.8 g / cm 3. Calculate its weight. - The pyramid 4s 
 The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of a length of 13 dm. Calculate the surface area and volume of this pyramid. - Hexa pyramid 
 The base of the regular pyramid is a hexagon, which can be described as a circle with a radius of 2 m. Find the volume of the pyramid to be 2.5 m high. - The quadrilateral pyramid 
 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. - Quadrilateral  pyramid 
 The regular quadrilateral pyramid has a base circumference of 44 cm and a body height of 3.2 cm. Calculate its volume and surface. - A square base 
 A solid right pyramid has a square base. The base edge length is 4 centimeters, and the pyramid's height is 3 centimeters. What is the volume of the pyramid? - Quadrilateral  14103  
 Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm. - Quadrilateral  14093  
 The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain? - 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°. - Tetrahedral pyramid 
 Determine the surface of a regular tetrahedral pyramid when its volume is V = 120 and the angle of the sidewall with the base plane is α = 42° 30'. - Quadrilateral  13881  
 Please calculate the volume of a quadrilateral pyramid when a = 5cm and the wall height is w = 12cm. - Heptagonal pyramid 
 A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base is 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³. - Cheops pyramid 
 The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Secret treasure 
 Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Quadrilateral  11241  
 The regular quadrilateral pyramid has a height of 40 cm and a base side of 21 cm. Cut the needle at half the height. How much will both parts have? - The plaster cast 
 The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Tetrahedral pyramid 
 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). - Right pyramid 
 A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the pyramid's volume. 
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