Solid geometry, stereometry - page 30 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
- Milk cartons
How much paper do we need for 12 tetra packs with dimensions 6 cm, 11 cm, and 20 cm? Will 1 liter of milk fit in the box? - 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? - 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? - 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? - 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? - Block-shaped 5556
Excavated soil increases the volume of the pile 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? - Winch
The steel rope has a diameter of 6mm and a length of 20m. We are winding on a drum width of 60 mm, starting diameter of 50 mm. What is the final diameter after winding? - 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 can full liters of water be poured maximally into the container? - 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? - Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm? - Decimetres 6341
We cut identical cubes with an edge length of 2 cm from two corners from a wooden cube with an edge of 0.6 decimetres. How many cubes with an edge length of 2 cm can still be cut from a wooden cube? - 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? - Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes? - Tetrapack
How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter? - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Hemisphere 70054
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm. - Identical 36423
We glued the letter T from two identical wooden blocks, 5 cm x 5 cm x 10 cm, and wanted to paint it. How big will it be? - Cylinder 19723
Pool in the shape of a cylinder with a diameter of 10 meters and a height of 1m 80cm. How long will it be filled with a pipeline with a flow rate of 5,000 liters per hour? - Cuboid-shaped 19063
Will 600 liters of solution fit in a cuboid-shaped tank with bottom dimensions of 2.5m and 1m and a height of 3dm?
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