Given: A cubical wooden structure with sides of 5 cm is painted on all its faces. If the cubical structure is sliced into 1 cm cubes, find how many 1 cm cubes will have exactly one of their faces painted?
(A)
33
(B)
54
(C)
76
(D)
140
Answer: (B)
Explanation:
Given: The cube side = 5 cm
The side of cube 5cm is cut into 5 equal parts, in which each of 1 cm. Therefore, the total number of cubes of side 1 cm = 25 + 25 + 25 + 25 + 25 = 125.
In one face of cube, there are total of 9 small cubes painted.
We know that, there are 6 faces in cube.
Thus, total of 9 x 6 faces will have one face painted. (i.e.) 54
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