[Jason — Be sure to use Ask a New Question when posting your own questions. Don't piggyback on someone else's thread.]
When Antonio opens and lays a cereal box out flat, he sees that the top and the bottom of the box each measure 2 inches by 7 inches, the sides of the box each measure 2 inches by 12 inches, and the front and back of the box each measure 7 inches by 12 inches. What is the surface area of Antonio's cereal box?
There are three pairs of faces, so the area is
2(2*7 + 2*12 + 7*12) = 244 in^2
To find the surface area of Antonio's cereal box, we need to calculate the area of each face and then sum them up.
The top and bottom of the box each measure 2 inches by 7 inches, so their area is 2 * 7 = 14 square inches each. Since there are two of them, the combined area of the top and bottom is 2 * 14 = 28 square inches.
The sides of the box each measure 2 inches by 12 inches, so their area is 2 * 12 = 24 square inches each. Since there are two sides, the combined area of the sides is 2 * 24 = 48 square inches.
Finally, the front and back of the box each measure 7 inches by 12 inches, so their area is 7 * 12 = 84 square inches each. Since there are two of them, the combined area of the front and back is 2 * 84 = 168 square inches.
To find the total surface area, we add up the areas of all the faces: 28 + 48 + 168 = 244 square inches.
Therefore, the surface area of Antonio's cereal box is 244 square inches.
To find the surface area of Antonio's cereal box, we need to calculate the area of each side and then add them all together.
Let's break down the dimensions of each side of the box:
Top and bottom: Each measures 2 inches by 7 inches. The area of each side is 2 inches * 7 inches = 14 square inches. Since there are two sides (top and bottom), the total area is 14 square inches * 2 = 28 square inches.
Sides: Each measures 2 inches by 12 inches. The area of each side is 2 inches * 12 inches = 24 square inches. Since there are two sides, the total area is 24 square inches * 2 = 48 square inches.
Front and back: Each measures 7 inches by 12 inches. The area of each side is 7 inches * 12 inches = 84 square inches. Since there are two sides, the total area is 84 square inches * 2 = 168 square inches.
Now, we add up the areas of all the sides: 28 square inches (top and bottom) + 48 square inches (sides) + 168 square inches (front and back) = 244 square inches.
Therefore, the surface area of Antonio's cereal box is 244 square inches.