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.
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
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