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?
There's a cube with 10.5 inches at the front 7 inches on the side and 9.1 inches at the length
To find the total surface area of the box, we need to calculate the area of each face and then add them together.
The front face has dimensions of 10.5 inches by 7 inches, so its area is 10.5 * 7 = 73.5 square inches.
The back face is the same as the front face, so its area is also 73.5 square inches.
The top face has dimensions of 10.5 inches by 9.1 inches, so its area is 10.5 * 9.1 = 95.55 square inches.
The bottom face is the same as the top face, so its area is also 95.55 square inches.
The left face has dimensions of 7 inches by 9.1 inches, so its area is 7 * 9.1 = 63.7 square inches.
The right face is the same as the left face, so its area is also 63.7 square inches.
To find the total surface area, we add up the areas of all the faces:
73.5 + 73.5 + 95.55 + 95.55 + 63.7 + 63.7 = 465.9 square inches.
Therefore, the total surface area of the box is 465.9 square inches.