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 or is shown in the diagram 10.5” x 7” x 9.1 inches what is the total surface area of the box and square inches
To find the total surface area of the rectangular prism, we need to calculate the area of each face and sum them up.
The rectangular prism has 6 faces: top, bottom, front, back, left, and right.
The top and bottom faces have the same dimensions, so their area is 10.5" x 7" = 73.5 sq. inches each.
The front and back faces also have the same dimensions, so their area is 10.5" x 9.1" = 95.55 sq. inches each.
The left and right faces also have the same dimensions, so their area is 7" x 9.1" = 63.7 sq. inches each.
Now we can calculate the total surface area by summing up the areas of all the faces:
Total surface area = (2 x top/bottom area) + (2 x front/back area) + (2 x left/right area)
Total surface area = (2 x 73.5) + (2 x 95.55) + (2 x 63.7)
Total surface area = 147 + 191.1 + 127.4
Total surface area = 465.5 sq. inches
Therefore, the total surface area of the box is 465.5 square inches.