Mei Ling is at a toy shop in Jurong Point. She picks up a building block that has 6 flat faces, 12 edges and 8 corners. All its faces are rectangles, but the faces are NOT all the same size. Which 3D shape is the building block?
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Worked Solution
Step 1: List what we know about the block — 6 flat faces, 12 edges, 8 corners, all faces are rectangles but NOT all the same size.
Step 2: Check each shape.
Cone: 1 flat face + 1 curved surface — does NOT have 6 flat faces. Eliminated.
Cylinder: 2 flat faces + 1 curved surface — does NOT have 6 flat faces. Eliminated.
Cube: 6 flat faces, 12 edges, 8 corners — MATCHES the face/edge/corner count. BUT a cube's faces are all equal squares. The block's faces are NOT all the same size, so it is NOT a cube.
Cuboid: 6 flat rectangular faces, 12 edges, 8 corners — MATCHES all the clues. Faces can be different sizes.
Step 3: The building block is a Cuboid.
Correct answer: Cuboid
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