Solid geometry, stereometry - page 8 of 121
Number of problems found: 2404
- Hectoliters 39141
The children's pool has the shape of a cylinder with a bottom diameter of 6 m and a height of 60 cm. The water reaches one decimeter below the top of the pool. How many hectoliters of water is in the pool? - Cylindrical 38791
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) - Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m3) - 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? - Special body
Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - Measuring 35931
How long does it take to fill a pool measuring 6x4x1m at a flow rate of Q = 0.2 dm³ / s? - Density 34471
Find the weight of a wooden cube with an edge of 3.5 dm if the wood's density is 0.7 g/cm³. - Flowerpot
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to - Vax candles
How much dm³ of wax do we need to produce 15 cube-shaped candles with 8 cm, 8 cm, and 1 dm dimensions? - Cargo space
The truck's cargo space has dimensions a = 4.2 m, b = 1.9 m, and c = 8.1 dm. Calculate its volume. - Mats
How many m² of leatherette was used to produce five mats with dimensions of 2 m, 1 m, and 8 cm? - 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?
- Block-shaped 32591
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 120g of paint per 1m²? - Aquarium
How many liters of water can fit in an aquarium measuring 30, 15, and 20 cm? - Sandbox
How many cubic meters of sand are needed to fill the sandbox on the field if it has the shape of a circle with a diameter of 3 m and is 25 cm deep? - Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Copper wire
What is the mass of 500 m of copper wire with a diameter of 1 mm if ρ = 8.9 g/cm³? - Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it? - Cube-shaped 28101
How many square decimetres of sheet metal are needed for a cube-shaped tank, open at the top with an edge of 75 cm? - Flower boxes
How many m² of 10mm thick boards are needed to make 12 flower boxes? The boxes' dimensions are 180, 150, and 1500 mm.
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