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A cuboid of dimensions (6 cm x 4 cm x1 cm) is painted black on both thesurfaces of dimensions (4 cm x1 cm), green on the surfaces of dimensions (6 cm x 4 cm) and red on thesurfaces of dimensions (6 cm x1 cm). Now the block is divided into various smaller cubes of side 1 cm each.The smaller cubes so obtained are separated. How many cubes will formed? |
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Answer» Answer: Number of smaller CUBES having all three COLOURS black, GREEN and red each ATLEAST on one side = Number of smaller cubes at 4 corners + Number of smaller cubes at the 2 EDGES of surfaces of dimensions (4cm×1cm) + Number of smaller cubes at the 2 edges of surfaces of dimensions (6cm×1cm) =4+2+2+4+4=4+4+8=16 |
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