Question

use the table, along with dimensional analysis, to convert the given unit to the unit indicated.
3 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

From the table, \(1\space L = 1\space dm^{3}\) and \(1\space dm^{3}=1000\space cm^{3}\), so \(1\space L = 1000\space cm^{3}\).

Step2: Convert 3 L to \(cm^{3}\)

Multiply 3 L by the conversion factor \(\frac{1000\space cm^{3}}{1\space L}\).
\(3\space L\times\frac{1000\space cm^{3}}{1\space L}=3\times1000\space cm^{3}\)

Step3: Calculate the result

\(3\times1000 = 3000\)

Answer:

\(3000\)