Conversion of density units
The density (the volumetric mass density, specific mass) of a substance is its mass per unit volume. The symbol for density is ρ (Greek letter rho). Density is defined as mass divided by volume. The formula is ρ = m/V, where m = mass and V is volume. The basic SI density unit is kg/m3
Conversion of a density unit in word math problems and questions
- Solid in water
The solid weighs in air 16.1 kg and in water 13 kg. Calculate the density of the solid.
- Calculate 79684
Calculate the density of wood, which is a board with a volume of 0.2 cubic meters weighing 100 kg.
Could 446 tons of potatoes (ρ = 771 kg/m³) fit in a warehouse with a volume of 699 m³?
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³.
- Ten packages
Tina has ten packages of yarn to knit a scarf. She uses 1/3 of a package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Snow fell overnight layer of thickness 19 cm. In the morning, I had to clear a path 69 m long and one meter wide. How many cubic meters of snow do I clear? How many kilos was it? (1 m³ fresh snow weighs 350 kg)
From the 1600 mm long sheet of copper plate 2 mm thickness, we have separated over the whole length of the belt weighing 6000 g. Calculate belt width if one dm³ copper weighs 8.9 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?
- Plastic pipe
Calculate the plastic pipe's weight with diameter d = 70 mm and length 380 cm if the wall thickness is 4 mm and the density of plastic is 1367 kg/m³.
- Heptagonal pyramid
A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base of 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³.
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?
What is the volume of a body that stretches a dynamometer in air, on which a force of 2.5 N suspends it, and if it is immersed in alcohol with a density of 800 kg/m³, does it tension the dynamometer with a force of 1.3 N?
The pool is 6 meters long and 3 meters wide, and the water in it is filled with water to a height of 1.7 m. When John jumped into it and completely submerged, the level had risen by 5.4 mm. How much weight does John when we know that one liter of the huma
- Wood prisms
How many weight 25 prisms with dimensions of 8x8x200 cm? 1 cubic meter of wood weighs 800 kg.
- Cube-shaped 2751
What weight will a cube-shaped concrete base with an edge length of 10 m have if one concrete cube weighs 2200 kilograms?
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