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.
aSimilar Questions
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Important Questions from Cube, cuboid and Dice
Each of the six different faces of a cube has been coated with a different colour i.e., V, I, B, G, Y and O.
Following information is given:
1) Colours Y, O and B are on adjacent faces.
2) Colours I, G and Y are on adjacent faces.
3) Colours B, G and Y are on adjacent faces.
4) Colours O, V and B are on adjacent faces.
Which is the colour of the face opposite to the face coloured with O?
Three views of a cube following a particular motion are given below:
What is the letter opposite to A?
Six squares are coloured, front and back, red (R), blue (B), yellow (Y), green (G), white (W) and orange (0) and are hinged together as shown in the figure given below. If they are folded to form a cube, what would be the face opposite the white face?
A cuboid has six sides of different colours. The red side is opposite to black. The blue side is adjacent to white. The brown side is adjacent to blue. The red side is face down. Which one of the following would be the opposite of brown?
A cube has six numbers marked 1, 2, 3, 4, 5 and 6 on its faces. Three views of the cube are shown below:
What possible numbers can exist on the two faces marked and respectively on the cube?
