A prism has an equilateral triangle as its base with a side length of 4 cm. The length of the prism is 6 cm. Calculate the volume of the prism.

The cross-section is an equilateral triangle ABC with side length $s = 4$ cm.
The formula for the area of an equilateral triangle is $\frac{\sqrt{3}}{4}s^2$.

$$\text{Area of cross-section} = \frac{\sqrt{3}}{4}(4^2)$$ $$\text{Area of cross-section} = \frac{\sqrt{3}}{4}(16)$$ $$\text{Area of cross-section} = 4\sqrt{3} \text{ cm}^2$$

The length of the prism is given as $CD = AE = BF = 6$ cm.

$$\text{Length of prism} = 6 \text{ cm}$$

The volume of a prism is given by the formula: Volume = Area of cross-section $\times$ Length.

$$\text{Volume} = (4\sqrt{3} \text{ cm}^2) \times (6 \text{ cm})$$ $$\text{Volume} = 24\sqrt{3} \text{ cm}^3$$

Now, we calculate the numerical value and round to 1 decimal place.
Using $\sqrt{3} \approx 1.73205$:

$$\text{Volume} \approx 24 \times 1.73205$$ $$\text{Volume} \approx 41.5692 \text{ cm}^3$$

Rounding to 1 decimal place:

$$\text{Volume} \approx 41.6 \text{ cm}^3$$

The volume of the prism is $41.6 \text{ cm}^3$.