Subjects geometry

Composite Volume Ecc1Ec

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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**.