Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated. 5 kl to dm³. dm³ (round to the nearest hundredth as needed ) volume in cubic units capacity 1 cm³ = 1 ml 1 dm³ = 1000 cm³ = 1 l 1 m³ = 1 kl

Explanation:

Step1: Identify conversion factors

We know that $1\ m^{3}=1\ kL$ and $1\ dm^{3}=0.001\ m^{3}$.

Step2: Convert 5 kL to $m^{3}$

Since $1\ m^{3}=1\ kL$, then $5\ kL = 5\ m^{3}$.

Step3: Convert $m^{3}$ to $dm^{3}$

Since $1\ m^{3}=1000\ dm^{3}$, then $5\ m^{3}=5\times1000\ dm^{3}=5000\ dm^{3}$.

Answer:

$5000$