https://file.aiquickdraw.com/mathbot/file/1726709830767o2m7jy3r.jpg

The image shows a 3D shape made up of two rectangular prisms. To calculate the volume of the entire figure, we need to find the volume of each prism and add them together. The prisms are labeled as \(1\) and \(2\) in the diagram.

1. **For Prism 1:**
   - Dimensions: \(4 \, \text{feet} \times 2 \, \text{feet} \times 8 \, \text{feet}\)
   - Volume formula for a rectangular prism: \(V = \text{length} \times \text{width} \times \text{height}\)
   - Volume of Prism 1: \( V_1 = 4 \times 2 \times 8 = 64 \, \text{cubic feet}\)

2. **For Prism 2:**
   - Dimensions: \(6 \, \text{feet} \times 3 \, \text{feet} \times 2 \, \text{feet}\)
   - Volume of Prism 2: \( V_2 = 6 \times 3 \times 2 = 36 \, \text{cubic feet}\)

3. **Total Volume:**
   - The total volume of the figure is the sum of the volumes of both prisms.
   \[
   V_{\text{total}} = V_1 + V_2 = 64 + 36 = 100 \, \text{cubic feet}
   \]

Thus, the expression representing the volume of the figure in cubic feet is:
\[
V_{\text{total}} = 4 \times 2 \times 8 + 6 \times 3 \times 2
\]

Do you have any questions, or would you like further details on any part?

Here are some related questions:
1. How do you find the surface area of a rectangular prism?
2. Can you explain why the volume of a prism is calculated by multiplying its dimensions?
3. How would the volume change if the height of Prism 1 were doubled?
4. What are some real-life objects that have similar dimensions to these prisms?
5. How would you calculate the volume if the shape were a cylinder instead?

**Tip:** When solving volume problems, always double-check the units to ensure consistency.

Write an expression to represent the volume of the figure in cubic feet.

Learn how to find the volume of a composite figure made of two rectangular prisms. This step-by-step solution shows how to calculate the volume by using the dimensions of each prism. Suitable for students in Grades 5-7.

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