A cube has an edge of length 4 cm and all the surfaces are painted. This cube is cut into small cubes with each of them having an edge of length 1 cm. How many cubes will have only one of their faces painted?
A) 56
B) 24
C) 32
D) 16
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4
Answer:
answer is 24
Step-by-step explanation:
when we divide we get 4x4x4 little cubes, so it’s 64 cubes.
The corner cubes all of them have 3 faces painted, so that’s 8 cubes.
64–8=56
The middle cubes all have 1 side only painted, and we have 4 of these for each cube face, so thats 4x6= 24
56–24=32
We have to remove the inner cubes that have no ink at all, and thats 8 cubes
32–8=24
These 24 left, all of them have 2 sides with paint
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