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UKMT Junior Kangaroo, 2023

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a wooden cube of side 3 cm3\text{ cm} with a smaller cube of side 1 cm1\text{ cm} cut out at one corner. A second cube of side 3 cm3\text{ cm} has a cube of side 1 cm1\text{ cm} cut out at each corner. How many faces does the shape formed from the second cube have?

(A) 66 (B) 1616 (C) 2424 (D) 3030 (E) 3636

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