🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2016 Math Kangaroo

Problem 15

Problem 15 · 2016 Math Kangaroo Stretch
Spatial & Visual Reasoning cube-views
Figure for Math Kangaroo 2016 Problem 15
Show answer
Answer: C
Show hints
Hint 1 of 2
Use the two cube views to see which faces sit next to the diamond face.
Still stuck? Show hint 2 →
Hint 2 of 2
The face opposite the diamond is the one that never appears touching it.
Show solution
Approach: use adjacency from the two views to find the opposite face
  1. From the two pictures, list which faces are adjacent to the diamond-marked face.
  2. The remaining face — never seen next to the diamond — is opposite it.
  3. That opposite face is option C.
Mark: · log in to save