There is a cuboid whose dimensions are 4 × 3 × 3 cm. The opposite faces of dimensions 4 × 3 are coloured yellow. The opposite faces of other dimensions 4 × 3 are coloured red. The opposite faces of dimensions 3 × 3 are coloured green. Now, the cuboid is cut into small cubes of side 1 cm. How many small cubes will have only two faces coloured?

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  1. 12
  2. 16
  3. 20
  4. 24

Answer (Detailed Solution Below)

Option 2 : 16
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According to the question our figure looks like this

F1 State G  Priya 6 3 2024 D26

Given:

There is a cuboid whose dimensions are 4 × 3 × 3 cm.

The opposite faces of dimensions 4 × 3 are coloured yellow.

The opposite faces of other dimensions 4 × 3 are coloured red.

The opposite faces of dimensions 3 × 3 are coloured green. 

Number of small cubes having only two faces coloured = 6 from the front + 6 from the back + 2 from the left + 2 from the right = 16

Hence, The correct answer is "16"

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