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Question

Identical cubes are stacked in the corner of a room as shown.

The number of cubes that are not visible are _________.


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Solution

Draw and observe the diagram:

Let us draw the diagram and observe it,

  1. There is no hidden box in the first row.
  2. There is 1 hidden box in the second row, the box in the upper row is sitting on it.
  3. There are 3 hidden boxes in the third row, the boxes in the upper rows are sitting on it.
  4. There are 6 hidden boxes in the fourth row, the boxes in the upper rows are sitting on it.
  5. There are 10 hidden boxes in the fifth row, the boxes in the upper rows are sitting on it.

So, the total number of hidden boxes =1+3+6+10=20.

Hence, the number of cubes that are not visible are 20.


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