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Question
A pile of cubes of equal size is arranged as shown in the figure. Now the block is dipped into a bucket full of red paint so that only the surfaces of the block get coloured. How many cubes are without any colour?
A pile of cubes of equal size is arranged as shown in the figure. Now the block is dipped into a bucket full of red paint so that only the surfaces of the block get coloured. How many cubes are without any colour?
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Solution
The correct option is A 18
In the second row from the left, the cubes are arranged in 5 row and 5 columns. Exclude the rows and columns on the sides. It leaves with 3 rows and 3 columns. Therefore, cubes that are not coloured are 9 cubes in the second column,
Similarly, in the next column, there are 2 such rows and 3 columns, so cubes not coloured are 6
In the next column, there is one row and 3 columns, so cubes not coloured are 3.
Total number of cubes not coloured are 9+6+3=18 cubes
Answer is Option D
In the second row from the left, the cubes are arranged in 5 row and 5 columns. Exclude the rows and columns on the sides. It leaves with 3 rows and 3 columns. Therefore, cubes that are not coloured are 9 cubes in the second column,
Similarly, in the next column, there are 2 such rows and 3 columns, so cubes not coloured are 6
In the next column, there is one row and 3 columns, so cubes not coloured are 3.
Total number of cubes not coloured are 9+6+3=18 cubes
Answer is Option D
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