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.
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 of the six faces and add them together.
The top and bottom faces are both rectangles with dimensions 9 inches by 4 inches. The area of each of these faces is 9 * 4 = 36 square inches.
The front and back faces are also rectangles with dimensions 9 inches by 6 inches. The area of each of these faces is 9 * 6 = 54 square inches.
The left and right faces are also rectangles with dimensions 6 inches by 4 inches. The area of each of these faces is 6 * 4 = 24 square inches.
Adding up the areas of all six faces, we get: 36 + 36 + 54 + 54 + 24 + 24 = 228 square inches.
Therefore, the total surface area of the box is 228 square inches.