Solid geometry, stereometry - page 48 of 123
Number of problems found: 2441
- Concrete pipe
A concrete pipe is cylindrical with an inner diameter of 60 cm and an outer diameter of 67 cm. If it is 10 m long, calculate its total surface area. - Measuring cylinder
A measuring cylinder has a base radius of 35 mm and a height of 500 mm. Calculate the wetted surface area if the liquid level reaches a height of 35 cm. - Pool tile area
The swimming pool's interior, with dimensions of 50 m, 15 m, and 3 m, should be lined with tiles. How many square meters of tiles are used for this? - Prism surface volume
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2 cm and the height of the prism h = 1 dm. - Prism shelf space
The surface of the triangular prism is 157.2 dm². Its shell has an area of 126 dm². What space will it occupy on a shelf placed on a pedestal? - Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm². - Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Sketch a picture. - Hexagonal pyramid surface
A regular hexagonal pyramid has a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. Please sketch the picture. Please calculate the surface of a regular hexagonal pyramid. - Metal tube
Calculate the metal tube mass 8 dm long with an outer radius of 5 cm and an inner radius of 4.5 cm. One cm³ of this metal is 9.5 g. - Half-sphere roof
The roof above the castle tower has the shape of a 16 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents? - Density of the concrete
If the weight of the cuboid-shaped column is 200 kg, find the density of the concrete with dimensions 20 x 20 cm x 2 m. - Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3 cm, | AD | = 2 cm, | AE | = 4 cm - Sheet Metal Box Lid
Calculate how many dm² of sheet metal it takes to produce a box without a lid measuring 2.1 dm, 3.5 dm, and 0.5 dm in height. - Cube metal sheeting
We have a cube measuring side a = 540 mm. However, it is made of 25 mm thick sheet metal. How much do I need to sheet the cubes inside and the bottom? The lid is not required. - Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle if its sides are a = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm. - Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters? - Aquarium
An aquarium is a rectangular cuboid with a square base. It contains 62 litres of water and the base edge is 34 cm long. To what height does the water level rise?
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