*Simple conversion probelm - Converting 1.08 x 10^8 dm^3 to m

[nukeman]

Homework Statement

Just doing a review, and I am doing something wrong. I know its very simple, but can someone tell me what I am doing wrong.

The volume of a room is 1.08x10^8 dm^3

What is the volume in m^3?

Homework Equations

I am going ?m^3 = 1.08x10^8 dm^3 = 1 dm^3/ .1m
(so the dm^3 cancels out, leaving just the m, but my answer is: 1.08x10^10
And the correct answer is 1.08x10^5 m^3

can someone explain to me again how to do this? Thanks!

The Attempt at a Solution

 

[gneill]

One dm is how many meters?

So how many m³ is a dm³? Hint: dm³ is a cube that is one dm on each side.

 

[nukeman]

Ohh..hmm, so is this how you do it?

1.08x10^8dm^3 ((.1m/1dm)^3)

= 1.08x10^5 ? m^3

 

[gneill]

That works