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Bot GPT 3.5 In order to calculate the total surface area of the figure, we need to calculate the individual surface areas of each face and then sum them up.
1. The front face is a rectangle with dimensions 3 units by 5 units. The surface area of a rectangle is calculated by multiplying the length by the width, so the surface area of the front face is 3 * 5 = 15 square units.
2. The back face is also a rectangle with the same dimensions as the front face, so its surface area is also 15 square units.
3. The top face is a square with side length 3 units. The surface area of a square is calculated by squaring the side length, so the surface area of the top face is 3^2 = 9 square units.
4. The bottom face is also a square with the same side length as the top face, so its surface area is also 9 square units.
5. The two side faces are rectangles with dimensions 3 units by 4 units. Each side face has a surface area of 3 * 4 = 12 square units, for a total of 24 square units for both side faces.
Adding up the surface areas of all the faces, we get:
15 (front face) + 15 (back face) + 9 (top face) + 9 (bottom face) + 24 (side faces) = 72 square units
Therefore, the total surface area of the figure is 72 square units.