Solid geometry, stereometry - page 13 of 123
Number of problems found: 2441
- Wire weight
The customer wants to buy 300 meters of wire with d = 4 mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or - Puzzle wood density
The picture puzzle made of wooden cubes weighs 0.792 kg. One cube has an edge length of 4 cm and a weight of 33 grams. Find out how many cubes make up a puzzle and calculate the wood density in kg/m³. - Pool filling
In how many hours approximately we will fill the pool 3.66x0.91 (water height 71 cm) with a hose 1/2 from the valve from the water distribution from the well where there is enough water, a quality pump, and a water supply made through pipes in the cottage - Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms. - Dimension of foundations
The foundation pit for building houses has a face of blocks with dimensions of 10 meters, 10 meters, and 2 meters. After a heavy rain, the water is filled to the brim. The pump pumps out 10 m³ of water in 1 hour. In how many hours will the pit be empty? - Sandpit sand
A sandpit on a playground is shaped like a circle with a diameter of 3 meters and a depth of 25 cm. How many cubic meters of sand are needed? Determine the weight of the transported sand if 1 m³ of sand weighs 800 kg. - Aquarium Water Level Area
There are 140 liters of water in a rectangular aquarium with 800 mm and 50 cm base dimensions. How high in cm does the water level reach? What is the area in dm² of the inner walls of this aquarium up to the water level? - Pool water filling
They filled the 25 m long, 15 m wide swimming pool with water to a height of 80 cm. How many hectoliters of water did they put in, and how long did it take for the pool to fill if 375 hectoliters flow in 1 hour? - Mike chose
Mike selected four identical cubes, three identical prisms, and two identical cylinders from a construction kit. Each cube has an edge length of 3 cm. Each prism has two dimensions the same as the cube, and its third dimension is twice as long. Each cylin - Sand loading
The truck, with a load capacity of 7 tons, has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand, so the car's load capacity is not exceeded? - Roof repair
To repair the roof, we need 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick. If 1 m³ of boards costs 500 euros, how many euros will we pay for all the boards? - Snails
How many liters of water will fit in an aquarium with bottom dimensions of 30 cm and 25 cm and a height of 60 cm if we pour water up to a height of 58 cm? How many snails can we keep in an aquarium if we know that snails need 600 cm³ of water for their li - Dimensions - building
The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805 cm, width 525 cm, and length 15 m. The third cube-shaped part is 7 m wide. What is the total volume of the building in cubic meters? - Cylinder can
The paint is sold in a cylinder-shaped can with a height of 24.5 cm and a diameter of 15 cm. A full can weighs 5.5 kg, and an empty can weighs 200 grams. How much does 1 liter of paint weigh? - Pool water capacity
The pool has dimensions: a length of 50 m, a width of 15 m, and a depth of 2 m. It is filled with water to 1/4 of its depth. How many hectoliters of water are in the pool? How many hectoliters of water can fit in a filled pool? - Barrel water
The cylindrical barrel is 1.2 m high, and the diameter of its base is 0.6 m. How many hectoliters of water will fit in the barrel? What is the smallest amount of sheet metal needed for its production? (we count both bases) - Board paint calculation
Štěpán painted a block-shaped steel board measuring 2.2 m, 1.5 m, and 1.6 m twice with a protective coating. How many kilograms of paint would he consume if he used 120 g of paint per 1 m²? - Pool Water Height
A 1-meter-wide sidewalk will be paved around the block-shaped pool in the garden. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. There are 86.7 m³ of water in the pool. How high did the wate - Board weight
Calculate the weight of a wooden board 18 dm long, two dm wide, and 0.3 dm thick if you know that 1 m³ of wood weighs 660 kg. - Aquarium - water level
The aquarium measures 40 cm, 40 cm, and 50 cm. The water reaches 45 mm from the upper edge. Norbert bought the fish, and when he put them in the aquarium, the step level was 0.5 mm. What is the volume of new fish?
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