Solid geometry, stereometry - page 9 of 114
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2265
- Hemisphere - roof
The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of thinner are used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of thinner will paint - Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water. - Volume of the cone
Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm - Dimensions 15133
The aquarium has the dimensions a = 250 cm b = 50 cm c = 60 cm water is poured into the aquarium up to 45 cm. Do you calculate how many liters of water are in the aquarium? - Calculate
Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm. - Surface area of a cube
What is a cube's surface area with an edge of 3.5? - Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Quadrilateral 14093
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of a = 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain? - Swimming pool
The swimming pool has the shape of a block with dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool? - The cuboid
The cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid? - Wood prisms
How many weight 25 prisms with dimensions of 8x8x200 cm? 1 cubic meter of wood weighs 800 kg. - Calculate 9981
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight. - Half-cylinder 9961
The water feeding trough for cattle has the shape of 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? - Rainwater
6 mm of water rained on the garden with an area of 25 acres. How many 12-liter cans of water would we water in this garden just as? - Square-shaped 9491
A square-shaped pool with bottom dimensions of 7m * 4m and a height of 1.2m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m². - Diameter 9271
How many kg of paint do we need to paint a cylinder with a diameter of 60 cm and a length of 2 meters if we use 0.5 kg of color for one square meter of surface? How much will we pay for paint if 1 kg costs CZK 165? - Three-quarters of its volume
The pool has a block shape with a length of 8m, a width of 5.3m, and a depth of 1.5m. How many hectoliters of water is in it if it is filled to three-quarters of its volume? - Diameter of a cylinder
I need to calculate the cylinder volume with a height of 50 cm and a diameter of 30 cm. - Aquarium
I have an aquarium that is 100 cm long and 40 cm wide, and 40 cm in height. We fill it with water. How much will it weigh? - Sphere VS
Find the surface and volume of a sphere with a radius of 2 dm.
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