Blanca is going to use a box that is a rectangular prism for a card box at her son's birthday party. She will wrap and decorate the box. The dimensions of the box are shown in the diagram.
9.1 in.
7 in.
10.5 in.
What is the total surface area of the box in square inches?
To find the total surface area of the box, we need to find the area of each face and then add them together.
The front and back faces have dimensions of 9.1 inches by 7 inches, so the area of each face is 9.1 inches * 7 inches = <<9.1*7=63.7>>63.7 square inches.
The left and right faces have dimensions of 9.1 inches by 10.5 inches, so the area of each face is 9.1 inches * 10.5 inches = <<9.1*10.5=95.55>>95.55 square inches.
The top and bottom faces have dimensions of 7 inches by 10.5 inches, so the area of each face is 7 inches * 10.5 inches = <<7*10.5=73.5>>73.5 square inches.
Therefore, the total surface area of the box is 2 * 63.7 square inches + 2 * 95.55 square inches + 2 * 73.5 square inches = 127.4 square inches + 191.1 square inches + 147 square inches = <<127.4+191.1+147=465.5>>465.5 square inches. Answer: \boxed{465.5}.