Here are the filled blanks with the appropriate vocabulary words:
A point has 0 dimension. It is an abstract idea of a location in space.
A line has 1 dimension(s). An edge is a line segment where two faces meet.
A plane has 2 dimensions, with 2 different variables - each representing one of the dimensions.
When we are talking about length, we are looking at the measure of a one dimensional representation.
When we are talking about area, we are looking at the space inside of a two dimensional figure.
When we are talking about volume, we are looking at the total space enclosed by a three dimensional figure.