How do you translate the word phrase into a variable expression: n cubed?

1 Answer
May 2, 2018

The variable expression of n cubed is #n^3#

Explanation:

The tricky part of the above phrase is the use of the word "cubed". If you think about dimensions it makes things easier:

A line is a one-dimensional object, so if there's a measurement of #m# (lets say its distance), the units are in #"distance"^1#

A square is a two-dimensional object, which makes the units of area measurement #m# #"distance"^2# or distance squared

A cube is a three-dimensional object, which makes the units of volume measurement #m# #"distance"^3# or distance cubed

That's how I like to remember it, at least. Cubed means 3D, and 3 is your exponent!