https://file.aiquickdraw.com/mathbot/file/17262008067824okosp5s.jpg

The prism shown in the image is an L-shaped structure, and to find the volume, we can break it into two rectangular prisms.

### Step 1: Identify dimensions of both sections

#### First section (left vertical block):
- **Height**: 5 feet
- **Width**: 1 foot
- **Depth**: 2 feet

So, the volume of this part is:
\[
V_1 = \text{Height} \times \text{Width} \times \text{Depth} = 5 \times 1 \times 2 = 10 \, \text{cubic feet}
\]

#### Second section (horizontal block):
- **Height**: 3 feet
- **Width**: 6 feet (full length including overlap with vertical block)
- **Depth**: 2 feet

The volume of this section is:
\[
V_2 = \text{Height} \times \text{Width} \times \text{Depth} = 3 \times 6 \times 2 = 36 \, \text{cubic feet}
\]

### Step 2: Total volume
Now, add the volumes of the two sections:
\[
V_{\text{total}} = V_1 + V_2 = 10 + 36 = 46 \, \text{cubic feet}
\]

### Final Answer:
The total volume of the prism is **46 cubic feet**.

Would you like a detailed breakdown of any part of this, or any further clarification?

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Here are 5 follow-up questions for practice:
1. How would the volume change if the height of the first section were increased by 2 feet?
2. What is the surface area of this L-shaped prism?
3. How would the volume change if the second section's width were reduced by 1 foot?
4. If the entire prism were scaled by a factor of 2, what would the new volume be?
5. How would you calculate the volume if the prism were hollow inside?

**Tip:** When solving volume problems, breaking complex shapes into simpler components can simplify your calculations!

Find the volume of the prism shown in the image. It is an L-shaped structure with various dimensions (1 foot, 2 feet, 3 feet, 4 feet, 5 feet, and 6 feet).

This problem involves finding the volume of an L-shaped prism by dividing it into two rectangular sections. The solution explains how to use the volume formula for prisms and provides step-by-step calculations for a total volume of 46 cubic feet.

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