Short Answer 
The exterior surface area of the box without a lid, calculated by finding the area of one face (841 square inches) and multiplying it by 5 faces, is 4,205 square inches.
Step 1: Calculate the Area of One Face
To find the area of one face of the cube, we recognize that each face is a square. The formula to calculate the area of a square is to multiply the length of one side by itself. In this case, the edge length of the cube is 29 inches.
- Area of one face = 29 inches ‚à öo 29 inches = 841 square inches
Step 2: Determine the Total Surface Area for 5 Faces
Since the box is missing a lid, we only need to calculate the surface area of the remaining 5 faces. The total surface area can be found by multiplying the area of one face by the number of faces we are considering.
- Total surface area = 5 faces ‚à öo 841 square inches = 4,205 square inches
Step 3: State the Exterior Surface Area
After performing the calculations, we find that the exterior surface area of the box without a lid is the final result. This value represents the area of all the visible sides of the box, providing a complete understanding of the surface area available.
- Exterior surface area of the box without a lid = 4,205 square inches