Solid geometry, stereometry - page 22 of 115
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: 2283
- Pool
How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes. - Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top? - Rotary cylinder
In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Aquarium 26311
The bottom of the aquarium measures 30 cm and 50 cm. To what height will the aquarium be filled if 60 liters of water are poured into it? - Circumference 4532
The block ABCDEFGH is given, / AB / = 3.5 cm, / BC / = 4.1 cm, the circumference of the BCGF wall is 12.4 cm. Calculate the area and volume of the block. - Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm. - Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of these cubes. - Pipe
How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 kg of color? 1 kg of color coverage is 6 m². - Cube-shaped 80720
Pavel has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium? - Determine 73454
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm. - Volume 62064
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box? - Dimensions 48033
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube? - Contained 46731
The diesel tank has the shape of a block measuring 4.5 m x 3.2 m. What was the level of the diesel if it contained 216 hl of diesel? - Calculate 31061
There are two hectoliters of water in the barrel, and it reaches a height of 125cm. Calculate the inside diameter of the barrel - Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with bottom dimensions of 5 m and 4 m. What is the water level? - Cylinder-shaped 6293
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle? - The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block. - Dimension 54741
Column block shape dimension a = 25cm, b = 20cm, and volume 20dm³. Determine the height. - Toothpaste 81127
How long will the roll of toothpaste be extruded from the tube if the volume of the toothpaste is 100 ml and the diameter of the opening is 8 mm?
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