125 small cubes of size 1⇥1⇥1 are put together to form a cube of size 5⇥5⇥5. Two cubes of size 1⇥1⇥1 are said to be neighbours if they are placed such that their one face of size 1 ⇥ 1 touches each other. Find the number of 1 ⇥ 1 ⇥ 1 cubes having exactly four neighbours.
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The large cube shown is made up of $27$ identical sized ... The total number of smaller cubes that must have at least one face shaded is.
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