Density + rounding - practice problems
Number of problems found: 19
- 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)? - Dimensions 82604
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes? - Hydrogen 60813
One liter of air weighs 1,299 g, and one liter of hydrogen 0.089 8 g. How many times is hydrogen lighter? Round the result to units. - Consumption 40011
Karel calculates the consumption of paint for coating the floor in the clubhouse. The clubhouse is 3.4 m long and 2.5 m wide. 0.7 kg of paint is used per 1 m². One can contain 0.8 kg of paint. Calculate the total consumption of paint. How many cans of pai
- Bricks
How many bricks are needed for a wall 14.5 m long, 2 m high, and 45 cm thick if 285 bricks are needed for one m³ wall? - Reconstruction 31931
During the reconstruction of the apartment, Mr. Čakaj needed to varnish the floors in two rectangular rooms with dimensions of 6.8m x 4.5m and 6m x 3.8m. How many cans of paint did he have to buy if he painted 6m² of the floor with one can? - AL wire
What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic? Please round to the nearest gram. - Transported 20543
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg / m². - Diameters 15683
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³?
- Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - Millimeter 6629
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Sand
The maximum weight of the car is 5000 kg. We must transfer 10 m³ of sand. How many times does a car have to go? (density of sand is 1500 kg/m3) - Diameter 4126
The cork has a diameter of 20 mm and is 38 mm high. How many plugs will weigh 1 kg / cork density = 0.3 g / cm cubic /.
- The factory
The factory ordered 500 hexagonal steel bars of square sections with 25 mm sides. How many cars with a load capacity of 3 tonnes will be needed for bar move if the steel density is 7,850 kg.m-3? - Containers 2686
One m³ of wood weighs 650 kg, of which 12% is water. How many 10-liter containers do we need for this amount of water? - Bricks
Openings in perforated bricks occupy 10%, and brick has dimensions of 30 cm, 15 cm, and 7.5 cm. Calculate a) the weight of a perforated brick if you know that the density of the full brick material is p = 1800 kg/m³ (1.8 kg/dm³) b) the number of perforate - Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³. - Bricks
Brick has volume 2.4 dm³. How many bricks can drive a truck with a capacity of 15 ton? The density of brick is 2 g/cm³.
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