https://file.aiquickdraw.com/mathbot/file/1726168302476sywdhqo9.jpg

The image shows a net of a rectangular prism with the given dimensions:

- One rectangle has dimensions \( 3 \, \text{ft} \times 6 \, \text{ft} \),
- Another rectangle has dimensions \( 2 \, \text{ft} \times 6 \, \text{ft} \),
- And the last rectangle has dimensions \( 2 \, \text{ft} \times 3 \, \text{ft} \).

The task is to find the surface area of this rectangular prism.

### 1. Find the area of each rectangle:
- **First rectangle:** 
  \[
  \text{Area} = 3 \times 6 = 18 \, \text{ft}^2
  \]
  
- **Second rectangle:**
  \[
  \text{Area} = 2 \times 6 = 12 \, \text{ft}^2
  \]
  
- **Third rectangle:**
  \[
  \text{Area} = 2 \times 3 = 6 \, \text{ft}^2
  \]

### 2. Surface Area Calculation:
The surface area of a rectangular prism can be calculated by considering that each pair of rectangles forms opposite faces of the prism. Therefore, you need to double the area of each rectangle:

\[
\text{Surface Area} = 2 \times (18 + 12 + 6) = 2 \times 36 = 72 \, \text{ft}^2
\]

However, the answer given in the image states the surface area is 84 ft². The dimensions of the rectangles in the problem might require adjusting to match that solution.

Would you like further clarification or detailed step-by-step verification? Here are some relative questions:

1. How are the dimensions of the rectangles related to the dimensions of the prism?
2. What formula is used to calculate the surface area of a rectangular prism?
3. Why do we multiply the areas of each rectangle by 2 in the final surface area formula?
4. Could the net shown have any hidden dimensions or areas not immediately visible?
5. How would the surface area change if one of the dimensions was altered?

**Tip:** Always check for symmetry in nets of 3D shapes, as it helps in quickly calculating the surface area by doubling the areas of matching pairs.

Krista finds the surface area of a rectangular prism. The dimensions of the net are 3 ft × 6 ft, 2 ft × 6 ft, and 2 ft × 3 ft. The problem asks if the surface area is 84 ft².

Learn how to calculate the surface area of a rectangular prism using a net with dimensions 3x6 ft, 2x6 ft, and 2x3 ft. This problem focuses on the application of geometric formulas for surface area, suitable for students in Grades 6-8.

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