roughworks

UCEED 2025

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UCEED2025HardnatSpatial Reasoningcube3D geometryverticesedgeschamfer
natQ5

A cube 4 cm × 4 cm × 4 cm has all its corners chamfered as shown in the figure below. On each of its faces it has got a small tetrahedral notch having edges of 1 cm each. What is the sum of the number of vertices and the number of edges in this solid?

Question diagram