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Here's all you need to know to convert between volumes (i.e. m^3 to cm^3).
Volume is distance x distance x distance. Any formula you think about. Cube=L^3 or LxWxH, sphere is 4/3 pi x r^3 (r is distance), cylinder = pi x r^2 x L (r x 2 and L).
Why is this? because volume extends to the 3rd dimension.
What used confuse me was when my maths teacher said that there were 1,000,000 cm^3 in a metre cubed. I knew that 100cm were in a metre but it confused me passed this. Thing is, that difference becomes cubed due to it being 3rd dimension. i.e. the difference is actually 100x100x100, i.e. 1 million.
Some other things to remember. 1 cm^3 is the same as 1 millilitre. cc actually means centimetre cubed, i.e. cm^3. As milli means 1 thousandth there are 1000ml in a litre, therefore 1000cm^3 in a litre.
By definition, 1 cubic centimeter (cc or cm3) = 1 milliliter = 1 mL = 1/1000 L. ("Milli" means 1/1000th.) In this way, a standard unit of length, the meter, is directly related to a standard unit of volume, the litre.
Thus, there are 1000 mL in a Litre, and that means that one cubic meter = 1000 L x 1000 mL/L = 1,000,000 mL = 1,000,000 cc (or exactly 1x106 cc), NOT 1000 cc as the previous contributor stated.
When the previous contributor wrote about a cube, he should have been more clear and wrote: "In the special case of a cube, volume = (length of any side of the cube)3 since all sides of a cube are of equal length."
In my opinion, the remainder of what the previous contributor wrote is correct and is a good description.
If you are asking about the standard units of measure used, 1 liter is exactly 1000 cubic centimeters, and one US liquid gallon is exactly 231 cubic inches.
If you are asking about calculating volume, that can be determined from length measurements.
In the special case of a cube, volume = length3.
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In all other regular objects with straight sides (prism, pyramid, etc.) the volume will have a relationship to the length of any particular object that depends upon the geometry of the shape. In a rectangular prism, such as a shoe box, the volume is directly proportional to the length of any single dimension.
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For spherical shapes, the volume is 4/3 pi r3, where r is the length of the radius.
For other shapes, the volume formula may be more complicated, and for irregular shapes, the volume may have to be estimated.
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Some irregular shapes' volumes cannot be estimated or measured by length. The volume of a daisy flower, for example, can not readily be measured by conventional length measurements because the shape of the object (all those petals, stamen, stigma, filaments, and sepals, not to mention the stem, leaves, and roots) make it too difficult to calculate the volume by measure straight lengths. Other methods are required to measure the volumes of such irregular objects, including liquid displacement or three dimensional surface scanning or tomography.
Because L times W = volume
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How are SI units of length volume and mass related?
SI units of length, volume, and mass are related as follows: Length is measured in meters (m). Volume is measured in cubic meters (m^3) or liters (L). Mass is measured in kilograms (kg). These three quantities are fundamental measures in the SI system of units and are used to describe the physical properties of objects.
How many cc in 80 inches?
Actually none! Why? "cc" measures the quantity in volume while "inches" measures the quantity in length. You can't convert "length" units to "volume" units since they are not related to another.
What is the volume of cube with a side length of 23 units?
A cube with a side length of 23 units has a volume of 12,167 cubic units.
What is the side length of a cube when the volume is 2197 cubic units?
The side length of a cube when the volume is 2,197 cubic units is: 13 units.
What is the volume of a cube with edges of length 4.5 units?
The volume of a cube with edges of length 4.5 units is: 91.1 units3
What is the metric unit for length mass and volume?
The units for volume are the units for length cubed. For example, the base unit is the meter, and the cubic meter is the basic unit of volume.
What is the volume of a cube with a side length?
Volume = (side length)^3 cubic units.
Which is longer a milliter or a teaspoon?
ml and tsp are units of volume not length.
What is the volume of a 3 cube?
A cube with a side length of 3 units has a volume of 27 cubic units.
What is the side length of a cube with volume 7293?
About 19.39257164 units in length
What is the volume of a rectangular prism that is 3 units by 5 units by two units?
Volume = (length) x (width) x (height)
Why is area measured in square units and volume is measured in cubic units?
An area is a measure comprising two dimensions of length (usually called length and breadth). The dimensional representation for area is, therefore, [L2]. Similarly, volume which comprises length x breadth x height, is [L3]. The shapes are measured in linear units and so these compound units are squared units (for area) and cubed units (for volume).An area is a measure comprising two dimensions of length (usually called length and breadth). The dimensional representation for area is, therefore, [L2]. Similarly, volume which comprises length x breadth x height, is [L3]. The shapes are measured in linear units and so these compound units are squared units (for area) and cubed units (for volume).An area is a measure comprising two dimensions of length (usually called length and breadth). The dimensional representation for area is, therefore, [L2]. Similarly, volume which comprises length x breadth x height, is [L3]. The shapes are measured in linear units and so these compound units are squared units (for area) and cubed units (for volume).An area is a measure comprising two dimensions of length (usually called length and breadth). The dimensional representation for area is, therefore, [L2]. Similarly, volume which comprises length x breadth x height, is [L3]. The shapes are measured in linear units and so these compound units are squared units (for area) and cubed units (for volume).
