Subjects geometry

Cube Nets 91061E

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1. The problem asks to identify which shapes are nets of cubes from the given descriptions. 2. A net of a cube consists of 6 squares connected edge-to-edge in a pattern that can be folded into a cube. 3. Important rules for cube nets: - Must have exactly 6 squares. - Squares must be arranged so that when folded, each square forms one face of the cube. - Common cube nets include T-shapes, crosses, and zigzag patterns that fold without overlap. 4. Analyze each shape: - Shape A: 6 squares in a zigzag pattern. This can fold into a cube because the zigzag allows folding edges to meet. - Shape B: 6 squares mainly in a straight line with a small branch. This is not a valid cube net because the long line cannot fold into a cube without overlapping. - Shape C: 6 squares in a T-like pattern. This is a classic cube net and folds perfectly into a cube. - Shape D: 6 squares in a cross-like shape with a short tail. This is also a known cube net pattern. 5. Therefore, the nets of cubes are Shapes A, C, and D. Final answer: Shapes A, C, and D are nets of cubes.