Question

Given a cone (with an axis of symmetry in its center, perpendicular to its base) with a height of 6 and a base that is a circle with radius `sqrt2`. A cube is inscribed within the cone – it rests on the cone's base and all its upper vertices touch the cone. Find the side length of the cube. Justify your answer.

Difficulty level (1 very easy - 10 very hard): 3

Topics:
Geometry -> Solid Geometry / Geometry in Space Algebra -> Equations Geometry -> Plane Geometry -> Pythagorean Theorem Geometry -> Plane Geometry -> Triangles -> Triangle Similarity
Sources:
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