QUESTION

CSAT

Easy

Maths

Prelims 2023

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

Select an option to attempt

Explanation

We have to find the number of internal cubes, i.e. the number of cubes that are not exposed.

There are 125 cubes. Now, $5^3 = 125$ . So, $n = 5$

Number of internal cubes = $(n - 2)^3 = (5 - 2)^3 = 3^3 = 27$

Hence, option A is correct.

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