Mr. Sugar baked a sheet cake in the shape of a rectangular prism with the deminisions of 20in by 12in by 3in high he is going to spread icing all over the cake except for the bottom what is the total surface area?
Is it 168?
To find the total surface area of the cake, we need to add up the surface areas of all the sides.
1. The top and bottom faces have dimensions 20 inches by 12 inches. Since you are excluding the bottom, you only need to consider the top face. The surface area of the top face is 20 inches * 12 inches = 240 square inches.
2. The four side faces have dimensions 20 inches by 3 inches and 12 inches by 3 inches. So, the combined surface area of all four side faces is (20 inches * 3 inches) + (20 inches * 3 inches) + (12 inches * 3 inches) + (12 inches * 3 inches) = 60 square inches + 60 square inches + 36 square inches + 36 square inches = 192 square inches.
To find the total surface area, add the surface area of the top face to the surface area of the side faces:
240 square inches (top face) + 192 square inches (side faces) = 432 square inches
Therefore, the total surface area of the cake, excluding the bottom, is 432 square inches.