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  • A block of wood in the form of cuboid of dimensions 6*7*14* has all its six faces painted pink if the wooden is cut into 504 cubes of dimension 1*1*1 how many of these would have pink paint on minimum one side of them

A block of wood in the form of cuboid of dimensions 6*7*14* has all its six faces painted pink if the wooden is cut into 504 cubes of dimension 1*1*1 how many of these would have pink paint on minimum one side of them

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Solution: 

\ a=6 ; b=7;and;c=14

Volume of big cuboid \=6 imes 7 imes 14=588

Volume of small cuboid =\ 1 imes 1 imes 1=1

So we get cuboid volume /small cube volume

The cubes hidden inside and not seen at all are

\ (a-2) imes (b-2) imes (c-2)=4 imes 5 imes 12=240 cube

Small cubes which are seen on the surface of big cuboid =588-240=348

These many cubes have pink on at least one side

Posted by

Deependra Verma

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