https://file.aiquickdraw.com/mathbot/file/1726673950750fx93i44h.jpg

The problem asks to find the surface area of a rectangular box (or rectangular prism) with given dimensions: 

- Length \( l = 18 \) inches
- Width \( w = 11 \) inches
- Height \( h = 7 \) inches

The formula for the surface area \( A \) of a rectangular box is:

\[
A = 2lw + 2lh + 2wh
\]

Now let's calculate the surface area.

1. \( 2lw = 2 \times 18 \times 11 = 396 \)
2. \( 2lh = 2 \times 18 \times 7 = 252 \)
3. \( 2wh = 2 \times 11 \times 7 = 154 \)

The total surface area is:

\[
A = 396 + 252 + 154 = 802 \, \text{square inches}
\]

So, the answer is \( 802 \), which matches the input provided in the image.

Would you like more details or have any other questions?

Here are five related questions for further exploration:

1. How would the surface area change if the height were doubled?
2. What is the volume of the same rectangular box?
3. Can you derive the formula for the surface area of a cylinder?
4. How does surface area scale with an increase in all dimensions of a box?
5. What real-life applications require surface area calculations?

**Tip:** Always ensure you differentiate between surface area and volume when solving geometry problems involving 3D shapes.

Find the surface area of a box that has a length of 18 in, a width of 11 in, and a height of 7 in.

Learn how to calculate the surface area of a rectangular box with a length of 18 inches, width of 11 inches, and height of 7 inches. This geometry problem covers key concepts such as surface area formulas and is suitable for students in Grades 6-8.

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