Two different positions of the same die are shown below. What is the number on the face opposite to the one having 6?
The question presents two images showing different orientations of a six-sided die. To determine the number opposite 6, we need to analyze the spatial relationship between the visible faces in both images.
Observe the common faces in both images. In the first image we see 6, 4, 3 and 1 and in the second image we see 6, 5, 2 and 1. Note that the number 1 is adjacent to the number 6 in both images. This is a key observation. Now let's consider the principle of opposite faces of a die: the sum of opposite faces always equals 7. Since the opposite face of number 1 is 6, this confirms the die is standard. Applying this principle, the number opposite 6 must be \(7 - 6 = 1\). However, this is not one of the options.
Let's analyze the adjacency of the visible numbers more closely. In both images, 1 is adjacent to 6. Now, notice the faces adjacent to 6 in the two images. In the first image, the adjacent faces to 6 are 4, 3, and 1. In the second image, the adjacent faces to 6 are 5, 2, and 1. Eliminating the common number 1 and comparing the remaining numbers, we can deduce which number is opposite 6. Since 4, 3, 5, and 2 are all adjacent to 6 in one image or another, the remaining number 2 must be the opposite face. This is possible if the die is arranged in a way where not all opposite sides necessarily add up to 7.
Therefore, the number on the face opposite to the one having 6 is 2.
Similar Questions
Select the possible cubes that can be formed by folding the given sheet.
Choose the box that is similar to the box formed from the given sheet of paper (x).
Select the possible cubes that can be formed by folding the given sheet.
Important Questions from Cube, cuboid and Dice
What would be the symbol on the opposite side of ‘@’ if the given sheet is folded to form a cube?
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.
