Solid geometry, stereometry - page 42 of 121
Number of problems found: 2404
- Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12cm and side edge b = 3 dm. - Reinforcement 42491
The concrete ring (used for reinforcement in wells) has an inner diameter of 800 mm and an outer diameter of 900 mm. It is made of concrete with a density of 2,500 kg/m³. Its height is 1 m. Calculate its mass. - Triangular 28451
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? - The rod
The rod has the shape of a regular hexagonal prism with a volume of 32.4 cubic decimetres. What is the area of the base if it is 350 centimeters long? Round to ones. - Hexagonal pyramid
Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm. - Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume. - Water tank
The water tank shape of the cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second, and will the inflow be open for 5/6 hours? (Calculate to one decimal place, and the - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Spherical bowl
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Cube-shaped 67274
In the basement, they have a cube-shaped room with an edge length of 2.5m, which has no windows, only a door with dimensions of 2*1m. They decided to make a Finnish sauna in it. How many square meters of wood paneling will they need? - Length 25661
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)? - Triangular 24001
The tent's floor consists of a square with a side of 2.4 m, and the front and back wall is an isosceles triangle with a height of 1.6 m. Calculate the volume of air in the tent in liters. (Laid triangular prism.) - Diameter 18273
The roller on the tennis court has a diameter of 60 cm and is 1.2 m wide. What area will the roller cover in one turn? They rounded to one decimal place. - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - Block-shaped 31741
We will paint the block-shaped pool, with the dimensions of the bottom a = 25 m and b = 15 m and the height c = 3.5 m. If one kg is enough for five square meters of paint, how many kg of paint will we need? - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Iron rod
What is the mass of a cylindrical iron rod with a length a = 9 m and a diameter d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms, and round to the nearest whole number. - Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area. - Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
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