Solid geometry, stereometry - page 28 of 123
Number of problems found: 2442
- Cube cutting
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? - Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm³. Calculate how many cubes with a volume of 1 cm³ this cuboid can be cut into without a remainder. - 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) - Letter painting
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? - 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? - 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. - 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? - 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. - Cup container calculation
I poured ten full cups with a radius of 5 cm and a height of 10 cm into a container with a volume of 8 liters. How many liters are in the container? - 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. - 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? - Rain cans
3 mm of water rained down on the garden with an area of 800 m². How many ten-liter cans did this rain replace? - Cuboid container
We have a block-shaped container measuring 20 cm x 30 cm x 45 cm. How many 5 cm cubes will fit in it? - Pot volume comparison
Calculate the volume of the two pots and compare them. The first pot is 40 cm high, and the diameter of its bottom is 24 cm. The second pot is 24 cm tall, and the diameter of its base is 40 cm. - 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? - Garden A Garden with an area of 800 square meters rained 3 mm of water. How many 10-liter cans of water are needed for the same irrigation?
- 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? - Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters? - Soil pit
Workers dug a pit cube with an edge of 2.5 meters. How many cars shall remove soil if the car suddenly takes 4 m³ of soil?
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