Density - practice problems
What is Density?
Density is a measure of how much mass is packed into a given volume. It tells us how "compact" or "heavy" a material is for its size.
Key Formula:
Density (ρ) = Mass (m)Volume (V)
- Units:
- SI unit: kilograms per cubic meter (kg/m³)
- Common unit: grams per cubic centimeter (g/cm³)
- Conversion: 1 g/cm³ = 1000 kg/m³
Number of problems found: 381
- Drying fruit
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?
- An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod?
- Solution mg/ml
If 70 ml of solution contains 280mg of drug, how many milligrams of drugs are in 50 ml of solution?
- Liquid density
What is the volume if the measure is 20 kg and the density is 2 kg/m³?
- Unit price 2
Cookie dough can be purchased in tubs or rolls. A 32-ounce tub cost $4.56 and a 16.5-ounce roll costs $2.50. Which is the better buy per ounce? Write the answer as an A or B option.
- A store 2
A store sells 12 oz of Brand A for $1.20 and 16 oz of Brand B for $1.50. Which is the more economical buy?
- An object
An object has a mass of 900 g and a volume of 1875 cm³. Calculate the density.
- A green
A green rope is 60.5 m long. Each meter of the rope has a mass of 0.052 kg. What is the total mass of the green rope?
- A piece 8
A piece of metal has a mass of 2210 g. The volume of the metal is 260 cm³. What is the density?
- Iron ball 2
What is the mass of the iron ball with a diameter of 1,0 dm? The density of iron is 7870 kg/m³. .
- Volume of gasoline
There is 1200 kg of gasoline in the tank. The density of gasoline is 1.5 g/cm³. Calculate the volume of gasoline.
- In an aquarium 3
In an aquarium 60cm long and 30cm wide, water is poured to a height of 25cm. Determine the mass of the water in the aquarium.
- Density of a cube
Calculate the density of a cube if the height is 8 cm and the mass of the cube is 3 kg.
- Aluminum - density
The density of aluminum is 2,700 kg/m³. Calculate the mass of an aluminum cube with a volume of 80 cm3!
- DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m, 20 cm, and 20 cm, if its mass is 84 kg?
- Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms.
- Atmospheric pressure
How and by how much hPa will the atmospheric pressure change when we take the cable car from Skalnate Pleso to Lomnický štít? The altitudes of the cable car stations are 1754 m above sea level and 2634 m above sea level.
- Titanium 83463
The body of titanium weighs 227 kg and has a volume of 0.05 m³. What is its density?
- Approximately 83408
The volume of the gasoline bottle is 15 liters. What is the weight of an entire bottle of petrol if the empty one weighs 1 kg? The density of gasoline is approximately 730 kg/m³.
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