A solid cube of side 8 cm has a black border of uniform width 1 cm painted on each of its faces.
What part of the cube's surface is painted black?
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Answer:
A cube of side 4cm is painted black on all of its surfaces and then divided into various smaller cubes of side 1cm each. The smaller cubes so obtained are separated.
Total no. of cubes obtained =
1×1×1
4×4×4
=64
Here n=
side of small cube
side of big cube
=
1
4
=4
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