If the three sides of a cube which are adjacent to each other are coloured red and the remaining blue. The cube is cut into 8 identical cubes. How many of the cubes have at least 2 Blue colours?
If the three sides of a cube which are adjacent to each other are coloured red and the remaining blue. The cube is cut into 8 identical cubes. How many of the cubes have at least 2 Blue colours? Correct Answer 4
[ alt="Cubes and dices coloured dices Manikandan L 01Mar2019 10Q translated(1) rev 2" src="//storage.googleapis.com/tb-img/production/19/04/Cubes%20and%20dices_coloured%20dices_Manikandan%20L_01Mar2019_10Q%20translated%281%29_rev_2.PNG" style="width: 257px; height: 183px;">For the three sides to be adjacent to each other, the cube shown in figure must have all the visible faces in same colour. And the hidden 3 faces are blue.
One of the corners that is hidden has 3 blue faces. And the 3 other corner that are hidden has 2 blue faces. Therefore totally, 4 cubes have at least 2 blue faces.
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Feb 20, 2025