1.

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?​

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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