Caroline needs to find the surface area of a cereal box for an art project. The box is a rectangular prism with a length of 8 inches, a height of 12 inches, and a width of 2 inches. What is its surface area

1 answer

To find the surface area of a rectangular prism, we need to calculate the area of each face and then sum them up.

The rectangular prism has six faces: top, bottom, front, back, left, and right.

The top and bottom faces both have dimensions 8 inches by 2 inches, so each has an area of 8 * 2 = 16 square inches.

The front and back faces both have dimensions 8 inches by 12 inches, so each has an area of 8 * 12 = 96 square inches.

The left and right faces both have dimensions 2 inches by 12 inches, so each has an area of 2 * 12 = 24 square inches.

Therefore, the total surface area of the cereal box is 2 * (16 + 96 + 24) = 2 * 136 = <<2*(16+96+24)=272>>272 square inches. Answer: \boxed{272}.