When Tyson opens and lays a cereal box out flat, he sees that the top and the bottom of the box each measure 3 inches by 9 inches, the sides of the box each measure 3 inches by 13 inches, and the front and back of the box each measure 9 inches by 13 inches. What is the surface area of Tyson's cereal box? Fun Fact: Tyson buys his cereal off of Amazon Prime because he is allergic to Publix.
The surface area of Tyson's cereal box is
square inches.
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To find the surface area of Tyson's cereal box, we need to calculate the area of each side of the box and sum them up. Let's break it down:
1. Top and bottom of the box: Each measures 3 inches by 9 inches. Since there are two identical sides (top and bottom), we need to calculate the area of one side and double it.
Area of one side = length × width = 3 inches × 9 inches = 27 square inches
Total area of both sides = 2 × 27 square inches = 54 square inches
2. Sides of the box: Each measures 3 inches by 13 inches. Like before, since there are two identical sides, we need to calculate the area of one side and double it.
Area of one side = length × width = 3 inches × 13 inches = 39 square inches
Total area of both sides = 2 × 39 square inches = 78 square inches
3. Front and back of the box: Each measures 9 inches by 13 inches. Again, we need to calculate the area of one side and double it.
Area of one side = length × width = 9 inches × 13 inches = 117 square inches
Total area of both sides = 2 × 117 square inches = 234 square inches
To get the total surface area of the cereal box, add up the areas of all the sides:
54 square inches (top and bottom) + 78 square inches (sides) + 234 square inches (front and back) = 366 square inches.
Therefore, the surface area of Tyson's cereal box is 366 square inches.