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The task involves calculating the volume of a garden that is shaped like a composite rectangular prism based on the given dimensions:

- The larger part of the garden has dimensions: 10 feet (length), 4 feet (height), and 8 feet (width).
- The smaller rectangular part (attached) has dimensions: 3 feet (length), 4 feet (height), and 8 feet (width).

To solve:

### 1. Volume of the garden
The garden consists of two rectangular prisms. The formula for the volume of a rectangular prism is:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

- **Volume of the larger part**:
  \[
  V_1 = 10 \, \text{ft} \times 8 \, \text{ft} \times 4 \, \text{ft} = 320 \, \text{cubic feet}
  \]
  
- **Volume of the smaller part**:
  \[
  V_2 = 3 \, \text{ft} \times 8 \, \text{ft} \times 4 \, \text{ft} = 96 \, \text{cubic feet}
  \]

Now, we add the two volumes to get the total volume of the garden:

\[
V_{\text{total}} = 320 \, \text{ft}^3 + 96 \, \text{ft}^3 = 416 \, \text{cubic feet}
\]

Thus, the total volume of the garden is **416 cubic feet**.

### 2. Expression to represent the volume:
The volume expression can be written as:

\[
V_{\text{total}} = (10 \times 8 \times 4) + (3 \times 8 \times 4)
\]

This represents the sum of the volumes of the two rectangular prisms.

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Would you like further clarification or details? Here are 5 related questions to deepen your understanding:

1. How would the volume change if the height of the garden was increased by 2 feet?
2. What is the surface area of the garden?
3. How can you represent the volume in terms of other units like cubic meters?
4. What is the importance of breaking down complex shapes into simpler components when calculating volume?
5. How would the formula change if the garden had a triangular prism instead of a rectangular one?

**Tip**: When working with composite shapes, always calculate the volume of each part separately before combining them.

What is the volume of the garden? Explain or show your reasoning. Write an expression to represent the volume of the garden.

Calculate the volume of a raised bed garden made from two composite rectangular prisms. Learn to use the formula for the volume of rectangular prisms and add the volumes together to find the total. This problem is suitable for students in Grades 6-8 and demonstrates a practical application of geometry concepts.

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