Solid geometry, stereometry - page 28 of 121
Number of problems found: 2409
- 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? - Dimensions 3073
The room has 4m, 5m, and 2.4m dimensions. How many cans of paint are needed to paint the walls and ceiling of this room? If one can, is it enough for ten m²? - The volume 6
The volume of a sphere is given by the formula 4/3 πr³ (or 4/3 *pi *r³). The value of pi is approximately equal to 3.14. What is the volume of a sphere whose radius is 4 cm? (Round of the answer to the nearest hundredths. Type the value without the unit) - 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? - 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? - 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. - 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? - 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? - 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? - Sheet of paper
Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no) - 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? - 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? - 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?
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