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IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3 Question 30

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3

Question 30

A regular tetrahedron of edge 2 m has all four corners cut off by planes meeting each incident edge 1 m from that corner. The remaining solid is the pictured regular octahedron. What is its volume divided by the original tetrahedron’s volume?

Original printed choices: A) 4/5; B) 3/4; C) 2/3; D) 5/8; E) 1/3

Editorial note: Explain whether the printed question and choices are consistent. Give the literal mathematical result and distinguish any intended correction.

Question illustration