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
Height is 9.1 inches, base is 7inches, width is 10.5inches what is the total surface area of the box in square inches
To calculate the total surface area of the box, we need to find the area of each face and then add them up.
The box has six faces: top, bottom, front, back, left, and right.
The area of the top and bottom faces is equal to the length times the width: 7 inches * 10.5 inches = 73.5 square inches.
The area of the front and back faces is equal to the height times the width: 9.1 inches * 10.5 inches = 95.55 square inches.
The area of the left and right faces is equal to the height times the length: 9.1 inches * 7 inches = 63.7 square inches.
To find the total surface area, we add up the areas of all six faces:
Total surface area = 2 * (area of top and bottom) + 2 * (area of front and back) + 2 * (area of left and right)
Total surface area = 2 * 73.5 square inches + 2 * 95.55 square inches + 2 * 63.7 square inches
Total surface area = 147 square inches + 191.1 square inches + 127.4 square inches
Total surface area = 465.5 square inches
Therefore, the total surface area of the box is 465.5 square inches.