why is volume a derived quantity?why is volume expressed in cubic unit?
Answers
Answer:
Hope this helps
Explanation:
There is no cubic unit per se. For a volume, there is only one unit of length multiplied together, L x L x L = L^3
Using a three dimensional x-y-z or cartesian coordinate system…. Volume = Height x Width x Depth
If we measure each dimension in feet we get…
Volume = (Height) ft x (Width) ft x (Depth) ft
You can see we have units of Feet x Feet x Feet.
Feet x Feet x Feet = (Feet)^3 =
-or- if we abbreviate the notation
ft x ft x ft = ft^3
Feet to the third power or the slang Feet cubed or Cubic feet.
Turns out that saying “cubic feet” is a just a simpler and better sounding way to say Feet-Feet-Feet.
Notice that all three dimensions must use the same units for this mathematically based verbal abbreviation to work. For example, you can’t have cubic miles-meters-inches. Although this would awkwardly define a volume, the units used don’t match so no cubic units slang is created.
Answer:
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