Solid geometry, stereometry
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: 2261
- Dimensions: 82706
The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805cm, width 525cm, and length 15m. The third cube-shaped part is 7m wide. What is the total volume of the building in cubic meters? - Shaped 82232
How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm? - Foundations 82009
The house has foundations of 12x8m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm? - Diameter 81983
A garden barrel 1 m high has a base with a diameter of 80 cm. How many liters of water can fit in a barrel? - Calculate 81947
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³. - A cube 2
A cube has an edge length of 4 cm. Then its volume is: - Dimensions 81909
The foundation pit for building houses has a face of blocks with dimensions of 10 meters, 10 meters, and 2 meters. After a heavy rain, the water is filled to the brim. The pump pumps out 10 m³ of water in 1 hour. In how many hours will the pit be empty? - Approximately 81836
Approximately how many liters of water are there in a pot with a base diameter of 32 cm and a height of 25 cm? - Hectoliters 81834
They filled the 25m long, 15m wide swimming pool with water to a height of 80cm. How many hectoliters of water did they put in, and how long did it take for the pool to fill if 375 hectoliters flow in 1 hour? - The height 4
The height and radius of a cylinder are 25 ft and 5 ft, respectively. What is the surface area? - Water 70
Water is poured into a hemisphere-shaped bowl at a rate of 5m³ per second. If the bowl has a depth of 8m, how long does it take to fill up the bowl to the rim? - Helium balloon
Oscar needs to fill a sphere-shaped balloon with helium. If the balloon has a diameter of 8 inches, what is the total amount of helium that the balloon will hold to the nearest tenth? - Dimensions 81622
We cut the 80 cm and 50 cm, and 20 cm frames with a weight of 160 kg to a frame of half the dimensions. What is his weight now? - Calculate 81553
The picture puzzle made of wooden cubes weighs 0.792 kg. One cube has an edge length of 4 cm and a weight of 33 grams. Find out how many cubes make up a puzzle and calculate the wood density in kg/m³. - Box/cuboid
What is the volume of a box with these dimensions: H = 1.5 dm W = 3.5 dm L = 45 cm Give your answer in dm³ and round to the nearest tenth. - Diameter 81003
The pot has a diameter of 24 cm and a height of 5 dm. How many liters of water are in the pot if it is half full? - Cylinder-shaped 80454
The paint is sold in a cylinder-shaped can with a height of 24.5 cm and a diameter of 15 cm. A full can weighs 5.5 kg. How much does 1 liter of paint weigh? - Fabric 78284
How many m³ of fabric do we need to buy to make 20 cubes with an edge of 4.5 dm? - Conversion 77474
A wooden prism is 220 cm long, 10 cm high, and 10 cm wide. What is the conversion of its volume to m³? - Block-shaped 77124
The block-shaped pool, 50m long, 18m wide, and 2.5m deep, is filled 30cm below the edge. How many hectoliters can fit in a pool?
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