A cereal manufacturer needs to order cardboard mateial for their cereal boxes. The length of the box is 8 inches, the width is 2 inches, and the height is 10 inches. Find th number of square inches the manufacturer needs to order for one box. Hint: Find the surface area of the box. Ignore necessary overlapping of the cardboard.
To find the surface area of the box, we need to find the area of each of the six faces and then add them up.
Surface area of one side = length * width = 8 * 2 = 16 square inches
Surface area of the other side = length * width = 8 * 2 = 16 square inches
Surface area of the top and bottom sides = length * height = 8 * 10 = 80 square inches
Surface area of the front and back sides = width * height = 2 * 10 = 20 square inches
Now, add up all the surface areas:
16 + 16 + 80 + 80 + 20 + 20 = 232 square inches
Therefore, the manufacturer needs to order 232 square inches of cardboard material for one box.