Consider the 6 inch × 9 inch rectangular cake that is 2 inches deep. If you cover the cake with frosting excluding the bottom, what is the surface area of the cake that will be covered with frosting?

1 answer

The surface area of the four sides of the cake is given by:
2 × (6 inches × 2 inches) + 2 × (9 inches × 2 inches) = 24 + 36 = 60 square inches
The surface area of the top of the cake is given by:
6 inches × 9 inches = 54 square inches
Therefore, the total surface area of the cake that will be covered with frosting is:
60 + 54 = 114 square inches.