To solve for the volume of the triangular prism shown in the image:

The formula for the volume of a triangular prism is: $V = \text{Base Area} \times \text{Height of the prism}$

Step 1: Calculate the base area of the triangle

The triangle's base is 7 cm, and its height is 25 cm. The formula for the area of a triangle is: $\text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height}$ $\text{Base Area} = \frac{1}{2} \times 7 \times 25 = 87.5 \, \text{cm}^2$

Step 2: Multiply by the height of the prism

The height of the prism is given as 30 cm. Substituting into the formula for volume: $V = 87.5 \times 30 = 2625 \, \text{cm}^3$

However, the correct choice marked in the question is 2320 cm³. There might be a clarification needed for the exact dimensions or assumptions, as this result conflicts with the provided answer.

Let me know if you'd like to explore any assumptions or if the