https://r2.erweima.ai/mathbot/image/1725552597196m48n9j0w.jpg

To calculate the volume of this composite shape, we can break it into two rectangular prisms:

1. **Bottom Rectangular Prism**:
   - Length = 5 m
   - Width = 2 m
   - Height = 2 m

   Volume = \( 5 \times 2 \times 2 = 20 \, \text{m}^3 \)

2. **Top Rectangular Prism**:
   - Length = 3 m
   - Width = 2 m
   - Height = 2 m

   Volume = \( 3 \times 2 \times 2 = 12 \, \text{m}^3 \)

### Total Volume:
To get the total volume of the shape, add the volumes of the two rectangular prisms:

\[
\text{Total Volume} = 20 \, \text{m}^3 + 12 \, \text{m}^3 = 32 \, \text{m}^3
\]

The total volume of the composite shape is **32 cubic meters (m³)**.

Would you like a detailed breakdown or have any questions?

### Further Questions:
1. What is the formula for the volume of a rectangular prism?
2. How do composite shapes differ from simple shapes in volume calculation?
3. Can volume be affected by the arrangement of the parts of a composite shape?
4. What are other methods to break down complex shapes for volume calculation?
5. How can we use integration to calculate the volume of non-prismatic shapes?

**Tip:** Always ensure units are consistent when calculating volumes.

Calculate the volume of the following composite shape

Learn how to calculate the volume of a composite shape composed of two rectangular prisms. This step-by-step solution breaks down the volume calculation of each prism and adds them together. Suitable for students in Grades 6-8.

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