1. **State the problem:**
Find the volume of a composite solid made of two rectangular prisms stacked along the length.
2. **Identify dimensions:**
- Bottom prism: length = 8 cm, width = 3 cm, height = 2 cm
- Top prism: length = 4 cm, width = 3 cm, height = 4 cm
3. **Formula for volume of a rectangular prism:**
$$V = \text{length} \times \text{width} \times \text{height}$$
4. **Calculate volume of bottom prism:**
$$V_1 = 8 \times 3 \times 2 = 48 \text{ cm}^3$$
5. **Calculate volume of top prism:**
$$V_2 = 4 \times 3 \times 4 = 48 \text{ cm}^3$$
6. **Calculate total volume:**
$$V = V_1 + V_2 = 48 + 48 = 96 \text{ cm}^3$$
7. **Answer:**
The volume of the composite solid is **96 cm³**.
Composite Volume Ecc1Ec
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.