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Πέμπτη 30 Μαΐου 2024

Geometry Temple

An ancient ruler has decided to build a Geometry Temple in the form of a square-base pyramid made up of cubes with a side of 1 meter (as illustrated below). 
The Temple has 100 layers, where the bottom layer is 100×100 meters and the top layer is a single cube. The surface of the Temple is supposed to be covered with gold. 
What is the total area of gold foil that is needed in order to accomplish this?