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: 399
- 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? - Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m - 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. . - Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram. - Boxes
Boxes in the shape of a cuboid/without a lid/we decided to paint all sides/both inside and outside. The dimensions of the bottom are 60 cm X 30 cm and the height is 12 cm. How many cans of paint will be needed to paint 10 such boxes if one can last for pa - Asphalt - road
2933 kg of asphalt is how many m³? Use the density of asphalt as 2400 kg/m³. Help: Natural asphalt (bitumen): 1.01 – 1.05 g/cm³ (1010 – 1050 kg/m³) Asphalt mixture (for roads): 2.2 – 2.5 g/cm³ (2200 – 2500 kg/m³) Contains mineral aggregates, so it is dens - Into the bottle
The bottle can hold water weighing no more than 1 kg. Can you pour gasoline weighing the same amount into this bottle? - Volume of gasoline
There is 1200 kg of gasoline in the tank. The density of gasoline is 0.75 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. - Ice rink
A rectangular rink measuring 15m and 20m long needs to be covered with a layer of ice 4.5cm high. How many liters of water are needed to create ice? - 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.
- Iron rod
What is the mass of a cylindrical iron rod with a length a = 9 m and a diameter d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms, and round to the nearest whole number.
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