To convert cubic centimeters (cm³) to cubic decameters (dam³), we need to know the relationship between centimeters and decameters.

1 dam (decameter) = 1000 cm (centimeters).

Since volume is calculated in cubic units, we need to cube the conversion factor:

(1 dam)³ = (1000 cm)³
1 dam³ = 1,000,000,000 cm³ (or \(10^9\) cm³).

Now, to convert 5724 cm³ to dam³, we can use the following formula:

\[
\text{Volume in dam}³ = \frac{\text{Volume in cm}³}{10^9}
\]

Now substitute the volume:

\[
\text{Volume in dam}³ = \frac{5724 \text{ cm}³}{10^9}
\]

Calculating that gives:

\[
\text{Volume in dam}³ = 5.724 \times 10^{-6} \text{ dam}³
\]

Thus, **5724 cm³ = 5.724 × 10⁻⁶ dam³**.