Density - examples
- Ice and water
We want to cover rectangular rink with dimensions of 55 m and 25 m with 4cm thick layer of ice. How many liters of water we need if after freezing water increases its volume by 10%?
- Density - simple example
Material of density of 1278 kg/m3 occupies a container volume of 80 cm3. What is its mass?
- Vinegar 2
How many percentage of getvinegar solution, if we mix to 14.5 liters of 7.8% and 2.5 liters of 5.8% vinegar?
Which beer is better to drink: small beer (0.3 L) for 0.74 € or large (0.5 L) for 1.72 €?
- Air mass
What is the weight of the air in a classroom with dimensions 5 m × 2 m × 3.1 m ? The air density is 1.293 kg/m3.
Could 388 tons of potatoes (ρ = 799 kg/m³) fits in a warehouse with a volume of 675 m³ ?
- Eiffel Tower
Eiffel Tower in Paris is 300 meters high, is made of steel. Its weight is 8000 tons. How tall is the tower model made of the same material, if it weigh is 4.8 kg?
The cube weighs 18 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
Brick has volume 2.2 dm3. How many bricks can drive truck with capacity 20 ton? The density of brick is 2 g/cm3.
How many 46% alcohol we need to pour into 3 liters 63% alcohol to get p3% of the alcohol? How many 52% alcohol we get?
- Sea water
Mixing 68 kg of sea water with 73 kg rainwater is created water containing 3% salt. How many percent sea water contains salt?
- Sea water
Seawater contains about 6.8% salt. How many dm3 of distilled water we must pour into 30 dm3 of sea water to get water with 1.9% salt?
The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed are needed for sowing if the 1 m2 will consume 25 g of seeds?
- Weight of air
What is the weight of air in the living room measuring width 8 m length 2 m and height 2.7 m? Air density is ρ = 1.2 kg/m3.
Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?
Snow fell overnight layer of thickness 12 cm. In the morning I had to clear a path 102 m long and one meter wide. How many cubic meters of snow I clear? How many kilos was it? (1 m3 fresh snow weighs 350 kg)
- Granite cube
What is the weight in kg granite cube with an edge of 0.5 m if 1dm3 of granite weight 2600 g?
- Lead cube
Calculate the edge of the cube made from lead, which weighs 11 kg. The density of lead is 11341 kg/m3.
Wood contains 12% water. 1 m3 of wood weighs 650 kg. How many liters of water it contains?
- Sea on the Moon
Assume that the Moon has sea, the same composition as on the Earth (has same density of salt water). Calculate dive of boat floating in the sea on the Moon, when on Earth has dive 4.9 m. Consider that the Moon has 6.5-times smaller gravitational accelerati