A tower is composed of a prism with a square base and a pyramid. The base length is 20 meters, and the height of the prism is 40 meters, while the slant height of the pyramid is 10√2 meters. What is the total surface area, including the bottom base?

The exposed surface consists of the prism’s four side faces, the pyramid’s four triangular faces, and the tower’s bottom square; the square where the solids meet is inside and is not counted. The prism’s side area is 4 × 20 × 40 = 3,200 m², and the bottom area is 20 × 20 = 400 m². The pyramid’s lateral area is ½ × (4 × 20) × 10√2 = 400√2 m². The total is 3,600 + 400√2 m², choice A.

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