https://file.aiquickdraw.com/mathbot/file/17306596914315qruk5n4.jpg

To find the volume of this stepped figure, let's break down the steps and calculate the volume of each section individually. This figure appears to be made up of three rectangular prisms stacked together, each with its own length, width, and height.

### Dimensions and Calculation:
1. **Bottom Section**:
   - Length: 11 m
   - Width: 4 m
   - Height: 1 m
   - Volume = \( \text{length} \times \text{width} \times \text{height} = 11 \times 4 \times 1 = 44 \, \text{m}^3 \)

2. **Middle Section**:
   - Length: 7 m
   - Width: 4 m
   - Height: 1 m
   - Volume = \( \text{length} \times \text{width} \times \text{height} = 7 \times 4 \times 1 = 28 \, \text{m}^3 \)

3. **Top Section**:
   - Length: 3 m
   - Width: 4 m
   - Height: 1 m
   - Volume = \( \text{length} \times \text{width} \times \text{height} = 3 \times 4 \times 1 = 12 \, \text{m}^3 \)

### Total Volume
Adding these volumes together gives:
\[
44 + 28 + 12 = 84 \, \text{m}^3
\]

### Final Answer
The volume of the entire figure is **84 m³**.

Would you like more details on any part of the solution, or do you have any questions?

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Here are five related questions for further practice:
1. How would the volume change if each section’s height was increased to 2 meters?
2. What is the surface area of this stepped figure?
3. If the figure were filled with water, how many liters of water could it hold? (Hint: 1 cubic meter = 1000 liters)
4. How would the calculation change if the widths of the sections were different?
5. How do we calculate the volume of irregular shapes that aren’t built from basic geometric figures?

**Tip:** When working with composite shapes, break them down into simpler parts and calculate each part’s volume individually. Then sum them up for the total volume.

Find the volume of the figure. Round to the nearest hundredth, if necessary.

Learn how to calculate the volume of a composite step-shaped prism by breaking it into individual rectangular prisms and using the formula Volume = length × width × height. This problem is suitable for students in Grades 7-9 and involves geometry and volume calculation.

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