Subjects spatial reasoning

Cube Perspective 557A93

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Cube Perspective 557A93


1. Problem statement: Determine which option (A, B, C, or D) shows the same cube from a different perspective when the original cube has the top face solid black, the front face with a solid black circle, and the right face with a grid pattern. 2. Strategy and key rule: A cube rotation preserves which three faces meet at a corner and their cyclic adjacency order. 3. Important rules to apply: adjacent faces remain adjacent after rotation, opposite faces never become adjacent, and a rotation by $90^\circ$ or multiples can change which face appears on top/front/right but does not change which faces are the three distinct patterns. 4. Identify the three distinct visible faces from the original view: top = black. 5. Identify the three distinct visible faces from the original view: front = solid black circle. 6. Identify the three distinct visible faces from the original view: right = grid pattern. 7. Look for an option that displays all three distinct patterns on three faces that meet at a corner, possibly in a different order due to rotation. 8. Compare with each option briefly: Option A shows a circle on the front and a grid on the top, which can result from a rotation that moves the original right face (grid) to the top while the circle remains on the front and the original top (black) moves to the right. 9. Options B, C, and D either change the circle into a different mark or do not present the three original patterns on the three faces that meet at a corner, so they cannot match. 10. Conclusion and final answer: The only option consistent with a rotation that preserves adjacency and places the grid, circle, and black faces at the three visible positions is Option A.