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?

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.