Density - math word problems - page 16 of 18
Number of problems found: 352
- Eiffel Tower
Eiffel Tower in Paris is 300 meters high and is made of steel. Its weight is 8000 tons. How tall is the tower model made of the same material if it weighs 2.4 kg?
- Approximately 44671
A granite monument in the shape of a pyramid with a rectangular base will be placed in the city park. The base dimensions are 60 cm and 110 cm, and the pyramid height is 220 cm. The density of granite is approximately 2800 kg/m³. Calculate the weight of t
- 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
- Block-shaped 29941
Please calculate according to Pascal's law. Kerosene in a block-shaped metal tank reaches a height of 180 cm. Calculate the force acting on the bottom with dimensions of 1.5m and 3m if the density of kerosene is 820kg per M3.
- Measuring 16183
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg?
- Calculated 4023
How much does the glass of a display cabinet with dimensions of 3m x 2m and a thickness of 10mm weigh if the weight of the glass is calculated based on its specific volume weight, which is 2600 kg/m³? Therefore, the weight of one sheet of glass measuring
- Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%?
- Diameter 82212
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9g/cm³?
- (cashews/beetroots) 66984
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine in what ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a cer
- Gravitational 38843
An aluminum plate with a volume of 200 cm³ sinks in water. Determine the gravitational force exerted by the Earth on the plate. Determine the buoyant force that acts on a plate immersed in water. Compare the magnitudes of these forces and justify whether
- Cube-shaped 32441
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t
- Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i
- Determine 69154
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s.
- 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?
- What power 2
What power has a pump output to move 4853 hl of water to a height of 31 m for 8 hours? Comparing the power generated by the pump vs. the power generated by the motor, which is more efficient? Which pump or motor generates more pollution if, for every watt
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and how much copper does it contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3
- Cu thief
The thief stole 142 meters copper wire with a cross-section area of $s mm². Calculate how much money gets in the scrap redemption if redeemed copper for 5.3 Eur/kg. The density of copper is 8.96 t/m³.
- Foundations 25831
How many kilograms of cement are used to concrete the foundations under the machine if the concrete slab has the shape of a cuboid 4.6 m long, 2.7 m wide, and 45 cm high if 250 kg of cement is used per 1 m³?
- P=2100kg/m3 8542
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. ?
- Atmospheric 2901
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be?
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