Three different positions of the same dice are shown. Find the number on the face opposite the face showing the number ‘4’.
Here's how to solve this dice-based spatial reasoning problem:
The image shows three different orientations of a single dice. To determine the number opposite 4, we need to identify which faces share an edge in each view.
Observe the provided images carefully. By analyzing the adjacent numbers across different views, we can deduce which faces are opposite to each other. Note that adjacent faces can never be opposite to each other. Faces 1, 2, and 4 are shown on the top faces of the three different views. Faces 3, 5, and 6 are visible on the sides. We know that in a dice, opposite faces must add up to 7 (1+6, 2+5, 3+4). Since we are looking for the opposite of 4, we can conclude that it is 3. However, upon carefully observing the diagrams, we observe that 2, 4, and 5 are adjacent to each other in one view, hence they cannot be opposite faces. Analyzing the images further eliminates the other options. The only remaining number that could possibly be opposite 4 is 3. Considering the possible arrangements of a dice, we find that the only way the arrangement can happen is with 6 being opposite to 1. Since 1 is adjacent to 2 and 5, and 2 is adjacent to 4, therefore 4 is opposite to 6.
Therefore, the number on the face opposite the face showing the number ‘4’ is 6.
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Important Questions from Cube, cuboid and Dice
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Six letters J, K, L, M, N and O are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to J.
Six letters U, V, W, X, Y, and Z are written on different faces of a dice. Two positions of this dice are shown in the figure. Find the letter on the face opposite to V.
Six letters B, F, D, X, N, and A are written on different faces of a dice. Two positions of this dice are shown in the figures below. Find the letter on the face opposite to D.
Six letters G, H, I, J, K, and L are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the letter on the face opposite to G.
