Pyramid practice problems - page 5 of 14
Number of problems found: 262
- Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy? - Cross-section of a roof
The owner must cover the carport with a hipped roof with a rectangular cross-section of 8 m x 5 m. All roof surfaces have the same slope of 30°. Determine the price and weight of the roof if 1 m² cost €270 and weighs 43 kg. - 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
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. - Calculate 6566
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long. - Calculate 6331 The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid
- Rectangular 5798
The pyramid has a rectangular base with dimensions a = 5cm, b = 6cm. The side edges are identical; their length is h = 11cm. Calculate the surface of the pyramid.
- Quadrilateral 5130
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm? - 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). - 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. - Calculate 8354
In a regular pyramid in which the edge of the base is | AB | = 4cm; height = 6cm, calculate the angle of the lines AV and CV, V = vertex. - Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4m and an edge of the base of 6m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof?
- CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all case - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Triangular pyramid
Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm. - Equilateral 83322
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500kg/m³? - Decorative 46721
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.
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