125 identical cubes are arranged in the form of a cubical block How many cubes are surrounded by oth...........

Logical Reasoning and Analytical Ability (CSP) Cubes and Dice

125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side ?

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Complete-Test, Previous year (2023)

- Arrangement: 125 identical cubes are arranged to form a larger cube.

- Dimensions: Since \(125 = 5^3\), the larger cube is 5x5x5.

- Inner Cubes: We need to find cubes that are completely surrounded.

- Central Block: Only cubes not on any face, edge, or corner are surrounded.

- Inside Cube: A 3x3x3 cube in the center meets this, resulting in 27 cubes.

- Calculation: Center 3 cubes along each of 3 dimensions = \(3 \times 3 \times 3 = 27\).

- Options: Only Option 1 suggests 27.

- Answer: Option 1 (27) is correct.

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