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

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Homework Help Overview

The discussion revolves around converting a volume measurement from cubic decimeters (dm³) to cubic meters (m³). The original poster expresses confusion regarding their calculations and seeks clarification on the conversion process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to convert 1.08 x 10^8 dm³ to m³ but questions their method after arriving at an incorrect answer. Some participants question the relationship between decimeters and meters, particularly in the context of cubic measurements.

Discussion Status

Participants are actively engaging with the conversion process, with one suggesting a potential method for the conversion. There is a sense of progress as the original poster considers a new approach based on the cube of the conversion factor.

Contextual Notes

The original poster indicates uncertainty about their calculations and seeks further explanation, highlighting the need for clarity in understanding volume conversions.

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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

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

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

= 1.08x10^5 ? m^3
 
That works :smile:
 

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