1. **Problem statement:** Calculate the capacity of the chocolate filling inside the solid, which consists of a rectangular prism with a triangular prism on top.
2. **Understanding the shape:** The solid is composed of two parts:
- A rectangular prism (box) at the bottom.
- A triangular prism on top.
3. **Formula for volume:**
- Volume of rectangular prism = $\text{length} \times \text{width} \times \text{height}$
- Volume of triangular prism = $\frac{1}{2} \times \text{base} \times \text{height of triangle} \times \text{length}$
4. **Calculate volumes:**
- Let the dimensions of the rectangular prism be $l$, $w$, and $h_1$.
- Let the triangular prism have base $b$, height $h_2$, and length $l$ (same as rectangular prism length).
5. **Total volume of solid:**
$$V_{total} = l \times w \times h_1 + \frac{1}{2} \times b \times h_2 \times l$$
6. **Capacity of chocolate filling:**
- The filling is inside the solid, so its volume equals the total volume calculated.
- Convert volume from cubic centimeters to liters by dividing by 1000.
7. **Example calculation:**
- Suppose $l=10$ cm, $w=5$ cm, $h_1=4$ cm, $b=5$ cm, $h_2=3$ cm.
Calculate rectangular prism volume:
$$V_{rect} = 10 \times 5 \times 4 = 200 \text{ cm}^3$$
Calculate triangular prism volume:
$$V_{tri} = \frac{1}{2} \times 5 \times 3 \times 10 = 75 \text{ cm}^3$$
Total volume:
$$V_{total} = 200 + 75 = 275 \text{ cm}^3$$
Convert to liters:
$$\text{Capacity} = \frac{275}{1000} = 0.275 \text{ liters}$$
8. **Final answer:**
The capacity of the chocolate filling is $\boxed{0.28}$ liters (rounded to 2 decimal places).
Chocolate Filling 9Cca21
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