Subjects geometry

L Shaped Volume Bc8Ec7

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1. **State the problem:** Find the volume of the L-shaped solid figure composed of two rectangular prisms. 2. **Identify the dimensions:** - Bottom prism: length = 16 in, width = 7 in, height = 8 in - Top prism: length = 4 in, width = 8 in, height = 15 in 3. **Formula for volume of a rectangular prism:** $$V = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate volume of bottom prism:** $$V_1 = 16 \times 7 \times 8 = 896 \text{ cubic inches}$$ 5. **Calculate volume of top prism:** $$V_2 = 4 \times 8 \times 15 = 480 \text{ cubic inches}$$ 6. **Add volumes to find total volume:** $$V = V_1 + V_2 = 896 + 480 = 1376 \text{ cubic inches}$$ 7. **Final answer:** The volume of the solid figure is **1376 cubic inches**.