120 $dm^3$ is equal to what?
Understand the Problem
The question is asking us to convert 120 $dm^3$ to another unit, most likely $m^3$. This requires knowledge of metric conversions.
Answer
$0.12 m^3$
Answer for screen readers
$0.12 m^3$
Steps to Solve
- Understand the relationship between $dm^3$ and $m^3$
We know that 1 meter (m) is equal to 10 decimeters (dm). Therefore, $1 m = 10 dm$.
- Convert the cubic units
Since we're dealing with volume (cubic units), we need to cube both sides of the equation:
$(1 m)^3 = (10 dm)^3$
$1 m^3 = 1000 dm^3$
- Convert $dm^3$ to $m^3$
To convert $120 dm^3$ to $m^3$, we divide by 1000:
$120 dm^3 = 120 \div 1000 m^3 = 0.12 m^3$
$0.12 m^3$
More Information
A decimeter is one-tenth of a meter. A cubic decimeter is often referred to as a liter.
Tips
A common mistake is to forget that we are dealing with cubic units, confusing the linear relationship between meters and decimeters with the cubic relationship between cubic meters and cubic decimeters. You must cube the conversion factor.
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