Calculate the volume of a hexagonal prism with a base side length of 25 cm and a height of 10 cm.

Here are the volumes of the given shapes:

Shape A: Hexagonal Prism
Assumption: The base is a regular hexagon with a side length of $25 \text{ cm}$.

Step 1: Identify the dimensions and formula.
The side length of the regular hexagonal base is $s = 25 \text{ cm}$.
The height of the prism is $h = 10 \text{ cm}$.
The area of a regular hexagon is $A = \frac{3\sqrt{3}}{2} s^2$.
The volume of a prism is $V = A \times h$.

Step 2: Calculate the area of the hexagonal base.

$$A = \frac{3\sqrt{3}}{2} (25 \text{ cm})^2$$ $$A = \frac{3\sqrt{3}}{2} (625 \text{ cm}^2)$$ $$A = \frac{1875\sqrt{3}}{2} \text{ cm}^2$$

Step 3: Calculate the volume of the hexagonal prism.

$$V_A = \left(\frac{1875\sqrt{3}}{2} \text{ cm}^2\right) \times (10 \text{ cm})$$ $$V_A = 9375\sqrt{3} \text{ cm}^3$$

Using $\sqrt{3} \approx 1.73205$:

$$V_A \approx 9375 \times 1.73205 \text{ cm}^3$$ $$$$