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Question 1 NAT 2017 Medium NAT +4.00 marks

A 12cm x 12cm x 12cm wooden cube is painted and its four views are shown below. This cube is sliced into 64 smaller equal sized cubes of 3cm x 3cm x 3cm. How many of these small cubes will have exactly one green face and exactly one orange face in the same cube? [Figure: see page 3 of source PDF]

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