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: 407
- Drying fruit
Fresh fruit contains 68% water and dried fruit contains 20% water. How much dried fruit can be obtained from 100 kg of fresh fruit? - 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 280 mg 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. - Force gauge 2
A force gauge measured a gold necklace as Fg = 0.48 N in air and Fw = 0.45 N in water. Is it made of pure gold? - Calculate the density
Calculate the density of a body with a mass of 6.5 kg and a volume of 0.01 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
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - Asphalt - road
2,933 kg of asphalt is how many m³? Use the density of asphalt as 2,400 kg/m³. Note: Natural asphalt (bitumen): 1,010–1,050 kg/m³ Asphalt mixture (for roads): 2,200–2,500 kg/m³ (Contains mineral aggregates, so it is denser.) - Into the bottle
A bottle can hold water weighing no more than 1 kg. Can the same bottle hold gasoline of the same mass? - Volume of gasoline
There is 1,200 kg of gasoline in a tank. The density of gasoline is 0.75 g/cm³. Calculate the volume of the gasoline. - In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium. - Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice?
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