## Thinking Mathematically (6th Edition)

We know that $1~m = 10~dm$ We can find the number of cubic decimeters in one cubic meter. $1~m^3 = 1~m\times 1~m\times 1~m$ $1~m^3 = 10~dm\times 10~dm\times 10~dm$ $1~m^3 = 1000~dm^3$ There are 1000 cubic decimeters in one cubic meter. Note that a cubic meter has three dimensions so we need to multiply the conversion factor three times.