Three different positions of the same dice are shown. Find the number on the face opposite the face showing the number '6'.
Three different positions of a dice are shown in the image:
To find the number opposite to 6, let's analyze the images. Observe that the numbers 1, 3, and 4 are adjacent to 6 across different views. Since a standard die has opposite faces adding up to 7, the number opposite 6 must be 7 - 6 = 1. However, this logic is flawed as we don't have a complete view of all faces simultaneously. Let's use a different approach.
Consider the faces shown in the three images. We can see that numbers 1, 2, 3, 4, and 6 appear in at least one of the views. We're looking for the number opposite 6. The numbers 1, 3, and 4 are adjacent to 6 at different points in the images, leaving 2 and 5 as possible candidates.
Carefully examining the images, we observe that in the first two figures, the numbers 2 and 6 are at the opposite ends of a line or edge of the cube (or at opposite faces of a cuboid). In the last figure, 2 and 6 are adjacent. Therefore, 2 cannot be opposite 6. Hence, the number opposite 6 must be 5.
- Step 1: Identify the numbers visible in the images.
- Step 2: Eliminate numbers adjacent to '6' in any of the views.
- Step 3: The remaining number is the one opposite '6'.
Therefore, the number on the face opposite the face showing the number '6' is 5.
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Important Questions from Cube, cuboid and Dice
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