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The problem asks for the exterior surface area of a box without a lid. Each edge of the box is 29 inches, and since the box is shaped as a square prism, its surface area consists of 5 faces (four side faces and one bottom).

### Solution:
1. The side of the box is a square with an edge length of 29 inches. The area of one square face is:
   \[
   A_{\text{square}} = 29^2 = 841 \, \text{square inches}.
   \]
2. The box has four vertical side faces, so the total area of the side faces is:
   \[
   A_{\text{side faces}} = 4 \times 841 = 3364 \, \text{square inches}.
   \]
3. The bottom face (since there’s no lid) has an area of:
   \[
   A_{\text{bottom}} = 841 \, \text{square inches}.
   \]
4. The total surface area of the box without a lid is the sum of the side faces and the bottom face:
   \[
   A_{\text{total}} = 3364 + 841 = 4205 \, \text{square inches}.
   \]

So, the total surface area is **4205 square inches**, which matches the answer provided.

Do you have any questions or want more details? Here are some related questions:

1. How would the surface area change if the box had a lid?
2. What would be the surface area of the box if each edge was doubled?
3. How would you calculate the surface area of a rectangular box with different dimensions for each side?
4. How does the formula for surface area differ from the formula for volume?
5. What would happen to the surface area if the edge of the square was halved?

**Tip:** When calculating the surface area of any 3D shape, make sure to account for all visible faces or parts, especially when there are missing sections like lids.

The length of each edge of a box is 29 inches. Each side of the box is in the shape of a square. The box does not have a lid. What is the exterior surface area, in square inches, of this box without a lid?

Learn how to calculate the surface area of a square-shaped box without a lid, with a 29-inch edge. Detailed step-by-step solution provided. Suitable for middle school students in Grades 6-8.

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