Cube tower

Geometry Level pending

I glue ten cubes together, one on top of the other, to make a tower in which the top cube has side length 1, the second cube has side length 2, the third cube has side length 3 and so on until the bottom cube has side length 10. What is the surface area of the resulting 3D shape? (Assume that the when two cubes are glued together they meet at a face and the smaller cube is directly on top of the larger cube.)

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