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Question

Once Tom answered in and drove off to reach his destination – a building calledTheArchitecture.This building closely resembles a Rubik’s Cube, in the sense that the “rooms” of The Architecture are like the “cubes” of the Rubik’s Cube, as shown:

This building has 3 floors and each floor has 3 × 3 [read 3 by 3 – which means there are 3 rows and 3 columns] rooms which are all identical in size and shape.Tom stopped the car in front of the building.To enter this architecture, he should enter a passcode which is equal to the total number of rooms [cubes] in the building.

What is the passcode that Tom has to enter? ______ [Enter a numerical value]


___

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Solution

Consider the base of The Architecture. It is given that there are 3 × 3 cubes [rooms] on each floor.Since the building has 3 floors, the total number of cubes [rooms] would be 3 × 3 × 3 = 33 = 27.


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