Hakim is making a 3D model for his school art project. He draws a net that has exactly 2 square faces and 4 rectangular faces (the squares and rectangles are NOT all the same size). When he folds the net, which solid does he get?
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Worked Solution
Step 1: Count the faces in the net.
2 square faces + 4 rectangular faces = 6 faces total.
Step 2: Recall face counts for each solid.
• Cube: 6 faces, ALL squares (identical)
• Cuboid: 6 faces, rectangles in opposite pairs (can include 2 squares)
• Square pyramid: 5 faces (1 square + 4 triangles)
• Triangular prism: 5 faces (2 triangles + 3 rectangles)
Step 3: Match.
Only the cuboid has exactly 6 faces arranged as 2 squares + 4 rectangles.
The net folds into a Cuboid.
Correct answer: Cuboid
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