Density - practice problems - page 3 of 21
The densest natural element on Earth is osmium ( ρ = 22.6 g/cm³ ) — a teaspoon of it would weigh as much as a baseball!Number of problems found: 402
- Iron ball
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg. - A raft
I want to build a raft, and I have beams with a square section with side a=20cm and length l=2m, wood density 670 kg/m³. I will connect 10 beams - what is the volume of the raft and its weight? How deep will a raft sink in water (water density 1000kg/m³)? - Steel weight thread
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1dm³. With what force is the thread stretched? - Sugar minicubes
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes? - Water tube pressure
Water flows in a horizontal tube at a speed of 2.24 m/s and has a pressure of 0.1 MPa. How fast does the water flow in the narrowed part of the tube if its pressure is 0.09 MPa? - Wheat harvest hectare
Farmers harvested 1110q of grain from 37 hectares of wheat. a) how many q of wheat did they harvest from 12 hectares? b) how many grains were harvested from 1 m². C) how big is the side of the square of the field from which they harvested 1q of wheat? - Granite buoyancy pressure
A granite cube with an edge length of 1 dm and a weight of 2.5 kg is completely immersed in a container of water. How much buoyancy does it lighten? How much pressure does the cube exert on the bottom of the container? - Barrel ethanol weight
What is the weight of a two-hundred-liter barrel with ethanol if the empty barrel weighs 50 kg? - Copper wire meters
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9g/cm³? - Milk fat skimming
The dairy produces semi-skimmed milk (with 1.5% fat content) by skimming part of the fat from full-fat milk (with 4% fat content). 1 ton of semi-skimmed milk is produced from how many kilograms of fat milk? - Body glycerol volume
They will calculate the volume of a body that stretches the force gauge in the air with a force of 80N. After immersion in glycerol with a density of 12 kg. m-3 is a load cell stretched by a force of 30N. - Sugarcane harvest yield 3.6 tons of sugarcane were harvested on the experimental plot of 0.2 ha. How many tons of sugarcane can be harvested on a plot of land of 18.6 hectares with the same yield per hectare?
- Fence paint consumption
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5m high and 42m long. - Small density cube
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³. - Mercury density measurement
10 ml of mercury has been measured to weigh 0.135 kg. Calculate the density of mercury and compare it with the density shown in the tables. - Ring gold volume
The ring weighs 28g and has a volume of 2cm³ to find out if it is made of pure gold. - Cube substance density
What kind of substance is it if it is enclosed in a cube with a volume of 8 m³ weighing 110 kg and the entire cube weighs 115.78 kg? - Column water force
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Dimensions block - cuboid
We cut a block measuring 80 cm, 50 cm and 20 cm and weighing 160 kg into a block of half the size. What is its weight now? - The concrete basement
The concrete base has a square base a = 90 cm and is 0.2 m high. How many kg of concrete did we use to build it if the concrete density is ρ=2200 kg/m³?
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