Density - math word problems - page 17 of 20
Number of problems found: 397
- Canister
Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, and 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg, and the weight of an empty canister is 1.5 kg?
- The factory
The factory ordered 500 hexagonal steel bars in square sections with 25 mm sides. Suppose the steel density is 7,850 kg. m-3, how many cars with a load capacity of 3 tonnes will be needed to move the bars?
- Copper wire
What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm³?
- CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains.
- Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg.
- Measuring cork
Simon boasted that he had taken away a block of cork measuring 0.5m x 0.5m x 1.2m. Is it possible we know that 1 m of cubic cork weighs 300 kg and children from 10 to 15 years old can carry a maximum load of 5 kg?
- Granite cube
What is the weight of a kilogram granite cube with an edge of 0.5 m if 1dm³ of granite weight 2600 g?
- Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D
- Water temperatures
To 25 liters of water at 50 °C, we add 15 liters of water at a different temperature. How many °C should the water be colder than 50 °C so that 40 liters of the water obtained has a temperature of 42.5 °C?
- Thickness 3015
The copper sheet metal has a thickness of 3 mm, is 0.9 meters long, and is 75 hundred meters wide. How many kilos does it weigh if one dm³ copper weighs 8.8kg?
- Measuring 3014
How much does a gold bar measuring 5cm, 10cm and 3cm, and 1 cm³ gold weigh 19.3 g?
- Gravel - cone
The mound of gravel has a regular circular cone shape with a height of 3.3 meters and a base circumference of 18.85 meters. How many cubic meters of gravel are in a pile? Calculate the weight of gravel if its density is p = 640 kg/cubic m.
- 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?
- Kerosene 2897
What is the volume of kerosene if its weight is 8g? The density of kerosene is 780 g / l
- Ice floe
What is the volume of an ice floe weighing 326 kg?
- Iron cast
What is the weight of cast iron with a volume of 3575 cubic centimeters? The density of the cast iron is 7600 kg/m3
- Excavator
The excavator bucket capacity is 0.5 m³. Determine the mass of sand that the excavator picks up. The sand density is 1700 kg/m³.
- Dimensions 2797
They cut the large glass plate into two pieces. The first piece has dimensions of 120 cm and 150 cm. The second has dimensions of 100 cm and 150 cm. What is the weight of the second piece if the first piece weighs 2.4 kg?
- Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and copper does each ring contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3
- Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer?
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