The shape cut out of the cardstock is a rectangle with dimensions 8 inches by 10 inches. When folded and taped, this shape forms a box with a rectangular base and 4 flaps.
The rectangular base of the box has dimensions 8 inches by 10 inches, so its area is 8 inches * 10 inches = <<8*10=80>>80 square inches.
The 4 flaps each have an area equal to the area of one face of the rectangle, so each flap has an area of 8 inches * 10 inches = <<8*10=80>>80 square inches.
Therefore, the total surface area of the box is the sum of the area of the base and the area of the 4 flaps: 80 square inches (base) + 80 square inches (4 flaps) = <<80+80=160>>160 square inches. Answer: \boxed{160}.
Vito has an 8-inch by 10-inch piece of cardstock. He cuts it in the shape shown below and folds it on the dotted lines. He tapes the sides to make the box shown below. What is the surface area of the box?
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