Subjects geometry

Colored Cube Nets 4Ee2Fa

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1. **Problem statement:** We have a colored cube with six faces each a different color: red, yellow, green, blue, black, and white. 2. **Question a:** Which color is opposite the red face? 3. **Step:** From the three different views of the cube, observe the relative positions of the colors. 4. **Analysis:** The red face is adjacent to green, blue, yellow, and black in the views, so the only color not adjacent and thus opposite to red is white. 5. **Answer a:** The face opposite the red face is white. 6. **Question b:** Does any of the given cube nets match the colored cube? 7. **Step:** A cube net unfolds the cube into six connected squares. The arrangement of colors in the net must correspond to the adjacency and opposites on the cube. 8. **Check each net:** - Net 1: Colors do not match adjacency rules. - Net 2: Colors do not match adjacency rules. - Net 3: Colors do not match adjacency rules. - Net 4: Colors match the adjacency and opposite relations of the cube. 9. **Answer b:** Only cube net 4 matches the colored cube. 10. **Question c:** Draw two additional nets for this cube. 11. **Note:** This is a drawing task and cannot be answered in text here. **Final answers:** - a) The face opposite red is white. - b) Only cube net 4 fits the colored cube.