Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 49,000 cm³ to l
volume in cubic units capacity
1 cm³ = 1 ml
1 dm³ = 1000 cm³ = 1 l
1 m³ = 1 kl
l (round to the nearest hundredth as needed.)

Explanation:

Step1: Recall conversion factor

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

Step2: Set up conversion

Let $V$ be the volume in liters. We have the proportion $\frac{V}{49000\ cm^{3}}=\frac{1\ L}{1000\ cm^{3}}$.

Step3: Solve for V

$V=\frac{49000\ cm^{3}\times1\ L}{1000\ cm^{3}} = 49\ L$

Answer:

$49$