To find the total surface area of the box, we need to calculate the area of each face and then sum them up.
The box has six faces.
- The top and bottom faces have the same dimensions as the length and width of the box, so they each have an area of 10.5 inches * 9.1 inches = 95.55 square inches.
- The front and back faces have the same dimensions as the height and width of the box, so they each have an area of 9.1 inches * 7 inches = 63.7 square inches.
- The left and right faces have the same dimensions as the height and length of the box, so they each have an area of 10.5 inches * 7 inches = 73.5 square inches.
To find the total surface area, we sum up the areas of all six faces:
Total Surface Area = 2 * (top face + front face + left face)
= 2 * (95.55 square inches + 63.7 square inches + 73.5 square inches)
= 2 * (232.75 square inches)
= 465.5 square inches.
Therefore, the total surface area of the box is 465.5 square inches.
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.
10.5 in., 9.1 in., 7 in.
What is the total surface area of the box in square inches?
1 answer