Question: Find the volume of this triangular prism.
4 cm
5 cm
10 cm
Shape: triangular prism. The left triangular face has base 5 cm and height 4 cm, and the prism length is 10 cm; position_hint = center.
1. **State the problem:** We need to find the volume of a triangular prism with a triangular base of base length $5$ cm and height $4$ cm, and prism length $10$ cm.
2. **Formula for volume of a triangular prism:**
$$\text{Volume} = \text{Area of triangular base} \times \text{length of prism}$$
3. **Calculate the area of the triangular base:**
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 5 \times 4$$
4. **Simplify the area:**
$$\text{Area} = \frac{1}{2} \times 20 = 10 \text{ cm}^2$$
5. **Calculate the volume:**
$$\text{Volume} = 10 \text{ cm}^2 \times 10 \text{ cm} = 100 \text{ cm}^3$$
6. **Final answer:** The volume of the triangular prism is $100$ cubic centimeters.