The Princess and the Problem

Team: 
Abstract Mathematicians
Topic: Solid Geometry
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A princess gets captured by an evil queen. The queen orders that the princess must solve a math problem or she'll be imprisoned for life. Will the princess succeed? Or will she never make it out?

Common Core Standards: G-GMD.3
Problem #: 
202 (2018-2019)
Problem Difficulty Level: 5 [?]