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Question Find the volume of each figure. Round to the nearest hundredth when necessary. . : : 10m

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Uploaded ImageQuestion Find the volume of each figure. Round to the nearest hundredth when necessary. . : : 10m

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Asked by: Test User 100047
Created at: 2025-05-09 01:18:01

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Let's break down the given figure. It is a **triangular prism** sitting on top of a **rectangular prism**. **Step 1: Find the volume of the rectangular prism (bottom part):** - Length (l) = 10 m - Width (w) = 3.6 m - Height (h) = 5 m Volume = l × w × h Volume = 10 × 3.6 × 5 = **180 m³** --- **Step 2: Find the volume of the triangular prism (top part):** - Base of triangle = 3.6 m - Height of triangle = 2 m (since the total height is 7 m and the rectangular part is 5 m, so 7 - 5 = 2 m) - Length of prism = 10 m Area of triangle = (1/2) × base × height Area = 0.5 × 3.6 × 2 = 3.6 m² Volume of triangular prism = Area × length Volume = 3.6 × 10 = **36 m³** --- **Step 3: Total volume of the figure:** Total Volume = Volume of rectangular prism + Volume of triangular prism Total Volume = 180 + 36 = **216 m³** --- ### **Final Answer** The volume of the figure is **216 m³**.

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