Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated.
47 kl to dm³

volume in cubic units | capacity
--- | ---
1 cm³ | = 1 ml
1 dm³ = 1000 cm³ | = 1 l
1 m³ | = 1 kl

\boxed{} dm³ (round to the nearest hundredth as needed.)

Explanation:

Step1: Relate kL to m³

From the table, \(1\space m^3 = 1\space kL\), so \(47\space kL = 47\space m^3\).

Step2: Relate m³ to dm³

We know that \(1\space m = 10\space dm\), so \(1\space m^3=(10\space dm)^3 = 1000\space dm^3\).
To convert \(47\space m^3\) to \(dm^3\), we multiply by the conversion factor: \(47\space m^3\times\frac{1000\space dm^3}{1\space m^3}\)

Step3: Calculate the result

\(47\times1000 = 47000\)

Answer:

\(47000\)