Question

How do we define `"area"` and `"volume"` dimensionally?

Answer 1

Well, `"area "=" length"xx"breadth"`.

And `"volume" = "length"xx"breadth"xx"height"`

Explanation:

Note that this treatment is consistent dimensionally. `"Area"` has units of `m^2`, given the above formula. And of course, the units of `"volume"` `=` `mxxmxxm` `=` `m^3`.