Calculate the base area and volume for a rectangular prism and a cylinder with given dimensions.

The base is a rectangle, so its area is length $\times$ width.

$$A_{\text{base}} = l \times w$$ $$A_{\text{base}} = 17 \text{ cm} \times 8 \text{ cm}$$ $$A_{\text{base}} = 136 \text{ cm}^2$$

The volume of a rectangular prism is base area $\times$ height.

$$V = A_{\text{base}} \times h$$ $$V = 136 \text{ cm}^2 \times 8 \text{ cm}$$ $$V = 1088 \text{ cm}^3$$

For the rectangular prism:
Base Area: $\boxed{136 \text{ cm}^2}$
Volume: $\boxed{1088 \text{ cm}^3}$

The base is a circle, so its area is $\pi r^2$.

$$A_{\text{base}} = \pi r^2$$ $$A_{\text{base}} = \pi (3 \text{ cm})^2$$ $$A_{\text{base}} = 9\pi \text{ cm}^2$$

Using $\pi \approx 3.14159$:

$$A_{\text{base}} \approx 9 \times 3.14159 \text{ cm}^2$$ $$A_{\text{base}} \approx 28.27 \text{ cm}^2$$

The volume of a cylinder is base area $\times$ height.

$$V = A_{\text{base}} \times h$$ $$V = (9\pi \text{ cm}^2) \times 8 \text{ cm}$$ $$V = 72\pi \text{ cm}^3$$

Using $\pi \approx 3.14159$:

$$V \approx 72 \times 3.14159 \text{ cm}^3$$ $$V \approx 226.19 \text{ cm}^3$$

For the cylinder:
Base Area: $\boxed{9\pi \text{ cm}^2 \text{ (or approx. } 28.27 \text{ cm}^2)}$
Volume: $\boxed{72\pi \text{ cm}^3 \text{ (or approx. } 226.19 \text{ cm}^3)}$