Mass + cuboid - practice problems
Number of problems found: 72
- Approximately 83106
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard. - A raft
I want to build a raft, and I have beams with a square section with side a=20cm and length l=2m, wood density 670 kg/m³. I will connect 10 beams - what is the volume of the raft and its weight? How deep will a raft sink in water (water density 1000kg/m³)? - Submerged 81714
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Dimensions 81622
We cut the 80 cm and 50 cm, and 20 cm frames with a weight of 160 kg to a frame of half the dimensions. What is his weight now?
- The concrete basement
The concrete base has a square base a = 90 cm and is 0.2 m high. How many kg of concrete did we use to build it if the concrete density is ρ=2200 kg/m³? - Dimensions 69774
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - Approximately 64934
How many kg of paint will we use to paint the walls and ceiling of a room with a length of 9m, a width of 6m, and a height of 3.2m if 1kg of paint is enough for approximately 6m square? Subtract 6 square meters from the surface of the walls, which are the - An aquarium
An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank? - 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.
- Calculate 46741
Calculate the weight of the pendant - a regular four-side prism made of glass. The density of the glass is 2.5 g / cm3, the edge of the base is 2 cm, and the height of the pendant is 5.5 cm. - Measuring 46271
Calculate the weight of a block measuring 15 cm, 7.5 cm, and 10 cm made of a) oak wood (ρ = 800 kg/m³), b) spruce wood (ρ = 550 kg/m³). - Calculate 45563
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. - The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board? - 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?
- Efficiency 35023
The cellar, which has a floor area of 50 m2, 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - Concrete column
The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. Crane should lift it to a height of 20m. What is the power of his engine if the lifting takes 2 minutes? - 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? - Block-shaped 31741
We will paint the block-shaped pool, with the dimensions of the bottom a = 25 m and b = 15 m and the height c = 3.5 m. If one kg is enough for five square meters of paint, how many kg of paint will we need? - The body
The body has 2 m, 2 dm, and 10 cm dimensions. It weighs 28 kg. What is its density?
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