Question Find the volume of each figure. Round to the nearest hundredth when necessary. . : : 10m
Question:
Question
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
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**
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**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**
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**Step 3: Total volume of the figure:**
Total Volume = Volume of rectangular prism + Volume of triangular prism
Total Volume = 180 + 36 = **216 m³**
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### **Final Answer**
The volume of the figure is **216 m³**.
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