A cube, painted with a certain colour (Red) on the outer surface, is of 2 inches height, 2 inches wide and 2 inches across. If itandrsquo;s cut into one-inch cubes as shown by dotted lines, indicate the number of cubes having colour (Red) at least on two sides?a)4b)6c)8d)0Correct answer is option 'C'. Can you explain this answer?

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A cube, painted with a certain colour (Red) on the outer surface, is of 2 inches height, 2 inches wide and 2 inches across. If it’s cut into one-inch cubes as shown by dotted lines, indicate the number of cubes having colour (Red) at least on two sides?

a)
4
b)
6
c)
8
d)
0

Correct answer is option 'C'. Can you explain this answer?

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A cube, painted with a certain colour (Red) on the outer surface, is o...

Volume of cuboid = L × B × H = 2 × 2 × 2 = 8
Volume of Cuboid = Number of small cubes × Volume of 1 cube of 1 inch dimensions
8 = Number of cubes × 1 [as dimensions are 1 each so volume will be 1×1×1 = 1 cubic inch]
⇒ Number of cubes = 8
The given cuboid will be cut into 8 cubes. We’ve to find how many cubes out of these eights will have red on 2-sides.
Well, these eight cubes will be identical to each other because each of these 8 cubes will have ‘one side face’, ‘one front/back face’ and ‘one top/bottom face’ and ‘three inner faces’.

And, because Cuboid is coated red on outer surface so each of the Front/back face, side face and top/bottom face would also be coated red.

⇒ Each cube would have 3 faces as red.
⇒ 8 cubes have red on two-sides.

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