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To find the volume of the given shape, we can break it down into two rectangular prisms and then add their volumes together.

1. **Large Rectangular Prism:**
   - Dimensions: 10 in (length) × 12 in (height) × 4 in (width)
   - Volume = \(10 \times 12 \times 4 = 480 \, \text{cubic inches}\)

2. **Smaller Rectangular Prism (on top):**
   - Dimensions: 3 in (length) × 6 in (height) × 4 in (width)
   - Volume = \(3 \times 6 \times 4 = 72 \, \text{cubic inches}\)

**Total Volume** = Volume of Large Prism + Volume of Smaller Prism  
\[ 480 + 72 = 552 \, \text{cubic inches} \]

So, the total volume of the shape is **552 cubic inches**.

Would you like more details or have any questions about this calculation?

Here are 5 related questions to further explore this topic:
1. How do you find the volume of a composite solid shape?
2. What is the formula for the volume of a rectangular prism?
3. How can you break down irregular shapes into simpler parts to find their volume?
4. Why is it important to ensure all measurements are in the same units when calculating volume?
5. How would the total volume change if the dimensions of one of the prisms were altered?

**Tip:** When solving for the volume of a composite shape, always check if the shape can be split into smaller, more manageable parts like cubes or rectangular prisms.

Find the volume of a composite 3D shape with dimensions 10 in. × 12 in. × 4 in. and an attached section of 3 in. × 6 in. × 4 in.

This problem demonstrates how to calculate the volume of a composite shape made of two rectangular prisms. Learn how to break down the shape and apply the volume formula step-by-step. Perfect for Grades 7-9 students.

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