Blanca is going to use a box that is 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. The height is 9.1, the sides are 7, and the base is 10.5
To find the total surface area of the box, we need to find the area of each of the six faces and then sum them up.
The front and back faces of the box have the dimensions 10.5 x 9.1, so their area is 10.5 x 9.1 = 95.55 square units each.
The top and bottom faces of the box have the dimensions 7 x 10.5, so their area is 7 x 10.5 = 73.5 square units each.
The two side faces of the box have the dimensions 7 x 9.1, so their area is 7 x 9.1 = 63.7 square units each.
Adding up all the areas, we get:
Front and back faces: 2 * 95.55 = 191.1 square units
Top and bottom faces: 2 * 73.5 = 147 square units
Side faces: 2 * 63.7 = 127.4 square units
The total surface area of the box is 191.1 + 147 + 127.4 = 465.5 square units.