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DK-GEORGMOHR 2022 Problem 1

    The figure shows a glass prism which is partially filled with liquid. The surface of the prism consists of two isosceles right triangles, two squares with side length 1010 cm and a rectangle. The prism can lie in three different ways. If the prism lies as shown in figure 11 , the height of the liquid is 55 cm. Image a) What is the height of the liquid when it lies as shown in figure 22 ? b) What is the height of the liquid when it lies as shown in figure 33 ?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2022 official paper, page 1.

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