Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 3.5 l to cm³
volume in cubic units capacity
1 cm³ = 1 ml
1 dm³ = 1000 cm³ = 1 l
1 m³ = 1 kl
□cm³ (round to the nearest hundredth as needed.)

Explanation:

Step1: Identify conversion factor

We know that $1\ L = 1\ dm^{3}$ and $1\ dm^{3}=1000\ cm^{3}$, so $1\ L = 1000\ cm^{3}$.

Step2: Convert 3.5 L to $cm^{3}$

Multiply 3.5 L by the conversion - factor $\frac{1000\ cm^{3}}{1\ L}$.
$3.5\ L\times\frac{1000\ cm^{3}}{1\ L}=3500\ cm^{3}$

Answer:

3500