A block of wood in rectangular form that is
4cm x 10cm x 11cm all surfaces of pink rose color.
If the block of wood is cut into 440 cubes of
1cm × 1cm x 1cm each, how many cubes would
have color pink rose?
December 10, 2008
3d cube problem
A block of wood in rectangular form that is
4cm x 10cm x 11cm all surfaces of pink rose color.
If the block of wood is cut into 440 cubes of
1cm × 1cm x 1cm each, how many cubes would
have color pink rose?
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2 comments:
384 cubes with at least on side with color pink rose
Only cubes which are entirely internal to the block would have no pink on them. The block is 4 x 10 x 11cm so the size of the uncoloured "block" inside is 2 x 8 9cm. This equals 144 cubes. There are 440 cubes in total so 440 - 144 = 296 cubes will have at least one face coloured pink.
Specifically, there are:
8 corner cubes with 3 pink faces
76 edge cubes with 2 pink faces
212 face cubes with 1 pink face
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