Solid geometry, stereometry - page 28 of 120
Number of problems found: 2399
- Winch
The steel rope has a diameter of 6mm and a length of 20m. We are winding it on a drum width of 60 mm, with a starting diameter of 50 mm. What is the final diameter after winding? - Water block
A block with a 50 cm² base is filled with water 5 cm under the edge. How many sugar cubes with a 2 cm edge can be thrown into a container that overflows with water? - Tank full
Two hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full? - Milk package
Milk is sold in a box with dimensions of 9.5 cm, 16.5 cm, and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible. - Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen? - Cremons
The freight wagon is shaped like a cuboid 21m, 3.5m, and 4.2m. How many cube-shaped dorts can be loaded if one is a cube with an edge length of 7 cm? - Stones in aquarium
In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out?
- The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container? - Barrel-shaped 20903
The barrel-shaped barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill to 3/4 height? - Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm. - Cube containers
Two containers shaped as cubes with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube? - Quadrilateral 73034
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm. - Cylindrical 7891
Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm? - Hemisphere-shaped 7829
The ice cream maker sold 6l of ice cream a day. How many hemisphere-shaped portions with a diameter of 6 cm could he make from the ice cream sold? - Largest 6886
There are two cubes. One has an edge of 9 dm and the second of 9 cm. How often does the largest cube have a larger volume than a smaller one?
- Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter? - Water Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?
- Block-shaped 5556
Excavated soil increases the pile's volume by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool? - Ten-liter 4524
3 mm of water rained down on the garden with an area of 800 m². How many ten-liter cans did this rain replace? - Joanne 2
Joanne bought five fish. To have enough space, fish must have at least 30 liters of water. You know that the length is 5 dm and the width is 3 dm. Calculate the minimum height of the aquarium.
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