A cuboid of dimensions (12cm × 8cm × 2 cm) is
painted black on both the surfaces of dimensions
(8cm × 2 cm), green on the surfaces of dimensions
(12cm × 8cm) and red on the surfaces of
dimensions (12cm × 2 cm). Now the block is
divided into various smaller cubes of side 2cm
each. The smaller cubes so obtained are separated.
How many cubes will have atleast three surfaces
coloured?
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16 cubes have at least 3 surfaces coloured.
Imagine the cuboid given.
Suppose its height is 2 cm.
The length is 12 cm.
and breadth is 8 cm.
we divide it into cubes of 2 cm each.
so all the parts leaving the centre of the cuboid will have 3 surfaces coloured.
so have 8 blocks in the centre we subtract it from 24 and boom there is your answer 16.
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