Solid geometry, stereometry - page 29 of 121
Number of problems found: 2404
- Granite cube
What is the weight of a kilogram granite cube with an edge of 0.5 m if 1dm³ of granite weight 2600 g?
- 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.
- Dimensions 65094
The whirlpool has external dimensions of 2.29, 2.29 m, and 91 cm. The useful volume of water in it is 1514 liters. What volume of the whirlpool falls on the other parts?
- 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?
- 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?
- Cubes 47583
How many small cubes do we get when we cut a cube with an edge of 27 cm into cubes with an edge of 3 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 6089
The largest number of small cubes with an edge length of 2 cm will fit in a large cube with a volume of 216 cm³.
- 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?
- Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm cubic. Calculate how many cubes with a volume of 1 cm cubic can this cuboid be cut into without a remainder.
- Determine 5
Using the formula V=lwh, determine the volume of an aquarium with these measurements: length = 78 cm, width = 6 cm, and height = 43 cm.
- Aquarium
Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm?
- Cube-shaped 65084
The cube-shaped container can hold precisely 8 cm³ of bath salt. How many cm³ of bath salt will fit in a cube-shaped container with an edge twice as long?
- Cubes 3201
How many small cubes do we get when we cut a cube with an edge of 5 dm into cubes with an edge of 1 dm?
- Gift box
A gift box has dimensions of 8 1/2 inches, 5 1/2 inches, and 2 1/2 inches, respectively. How many cubes with side lengths of 1/2 inches would be needed to fill the gift box?
- Cylindrical tank
A tank has the shape of a cylinder with a diameter of 1.6 m and a length of 4.5 m. At least how many cylindrical barrels with a diameter of 0.8 m and a height of 1.5 m are needed to empty a tank?
- Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m?
- Spherical layer
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm?
- Truck of milk
How many hectoliters of the box milk fit in the truck if the cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.
- 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.
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