Mathematics : Math Misc

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cm3 cubes, how many 1 cm3 cubes will have exactly one of their faces painted? , A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cm3 cubes, how many 1 cm3 cubes will have exactly one of their faces painted?

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cm3 cubes, how many 1 cm3 cubes will have exactly one of their faces painted?



Solution
D. 54



Explanation
Side of given cube, a = 5 cm Let number of sliced cube be n. Then, Sliced cubes with exactly one painted side will be those 3 × 3 = 9, which are in the center of each face. (6 faces) × (9 per each) = 54
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