What are the dimensions of area?

length^{2}

length^{3}

time^{3}

time

What are the dimensions of volume?

If $F=3q+r$F=3q+r, where both $q$q and $r$r represent lengths, what does $F$F represent?

If $F=p^2r$F=p2r, where both $p$p and $r$r represent lengths, what does $F$F represent?

Describe the relationship between the algebraic and geometric representations of a single-variable term up to degree three