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2022 CMIMC
7
7
Part of
2022 CMIMC
Problems
(1)
2022 Team P7
Source:
2/28/2022
A
3
×
2
×
2
3\times2\times2
3
×
2
×
2
right rectangular prism has one of its edges with length
3
3
3
replaced with an edge of length
5
5
5
parallel to the original edge. The other
11
11
11
edges remain the same length, and the
6
6
6
vertices that are not endpoints of the replaced edge remain in place. The resulting convex solid has
8
8
8
faces, as shown below. Find the volume of the solid.Proposed by Justin Hsieh
team