Solid geometry, stereometry - page 41 of 121
Number of problems found: 2404
- Dimensions 4552
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - 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)? - Right-angled 4951
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 - 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. - Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - 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? - Wooden box
The block-shaped box was placed on the ground, leaving a rectangular print with 3 m and 2 m. When flipped over to another wall, a print with dimensions of 0.5 m and 3 m remained in the sand. What is the volume of the wooden box? - Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm. - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place. - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long? - Cylindrical 28331
How many crowns will the paint cost to paint a cylindrical container (d = 4.2 m, h = 5.5 m) when about 5 m² of paint is painted from 1 kg of color, and 1 kg of paint costs 115 CZK? - Cone-shaped 23331
For his birthday, Jirka made a cone-shaped hat out of paper. The side of this cone is 35cm long, and the radius of its base is 20cm. How much dm of paper did Jirka use to make it? Thank you - Half-cylinder 9961
The cattle water feeding trough is a half-cylinder with a length of 2 m and a width of 0.8 m. How many m³ of water can be poured into the gutter? How many m² do we need to produce 25 such gutters? - Rectangular 4547
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
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