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The unit of volume (cubic metre) is derived quite easily from the unit of length (metre). Imagine a cube whose edges are all one metre long - the volume of this cube is one cubic metre. Any volume can be expressed as multiples of this (e.g. 6 cubic metres), or as a fraction of this (e.g. 0.25 cubic metres).

One thousandth of a cubic metre is called a a "cubic decimetre" or a "litre" (a decimetre being one tenth of a metre). If you have one cubic decimetre of water, its mass is one kilogram, as originally defined. This makes the density of water equal to exactly 1 kilogram per cubic decimetre (1 kg dm-3), or 1000 kilograms per cubic metre (1000 kg m-3). All other densities are measured relative to that, so if a substance has a density of 2 kg dm-3, it is twice as dense (heavy for its size) as water.

Water is used as a liquid that we are all familiar with, and we kind of know from our everyday lives how heavy it is going to be, judging from how much of it there is, (assuming it is a relatively small quantity).

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Q: How are si units for volume and density derived from si units for length and mass?
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Related questions

Why density is a derive unit?

a fundamental unit is kg or m - (also seconds, amps, candela and moles). Density is kg/m3 and is thus derived.


How SI units for volume and density are derived from SI base units for length and mass?

Unit of length is m and that of mass is kg Now volume is length x length x lenght. SO volume would have the unit mxmxm = m3 Density = mass / volume So unit for density = kg /m3


What is the SI units of mass volume and density?

S.I. unit for length : meter S.I. unit for mass : Kilogram Thus: S.I. unit for volume : cubic meter ( m3 ) S.I. unit for density : Kilograms per cubic meter ( kg/m3 )


Why are the SI units of measure for length mass volume density time and temperature?

Length: meter (or metre) Mass: kilogram Volume: the appropriate derived units would be cubic meters but liters are also commonly used Density: there is no standard, but you could use the derived units of kg per cubic meter but the cgs (centimeter, grams, seconds system of units) units of g/cc are also commonly used Time: second Temperature: Kelvin


What are some examples of base units?

m to the second


What property is being measured when the unit of measurement is it length density mass volume?

The unit of length in SI is metre (m). The unit of mass in SI is kilogram (kg). The unit of volume in SI is litre (L). The derived unit of density in SI is Mg/m3 (or g/cm3). Length, mass, density, volume are not units but characteristics of materials and objects.


Is volume derived or fundamental?

Volume is measured in units derived from the fundamental unit of length.


What are the metric units for length mass weight volume and density?

meters, grams, liters Density is mass divided by volume.


Why the unit of density is called derived unit?

Density is not a derived unit.. It is a physical quantity and hence is a derived quantity.. the unit of density kgm-3 or gcm-3 is a derived unit because it can be expressed as the quotient of base units. In general, a unit is said to be derived if it can be expressed as the product and/or quotient of base units.


What do derived units look like?

Derived units do not have a single 'look'. They are produced from the base units of a measuring system such as the SI system.In the SI system there are seven base units which are;MetreKilogramSecondAmpereKelvinMoleCandelaAll other units are DERIVED units.For example the units for volume is the cubic metre and density is derived from the metre and kilogram. So density is kilograms per cubic metre in the SI system.


What units do we use for length volume and mass?

The units for the volume if you are measuring any liquid or solid is metre^3/cm^3 as density = mass/volume. The units for mass is grams


What is density of drywall?

Weigh the material in pounds. Then measure the length, width and height. Do this in feet. Calculate the volume by multiplying length x width x height = Volume. Volume = length x width x height Divide the weight by the volume: Weight / Volume Density = Weight / Volume Your density is in units of lbs per cubic foot