Two different positions of the same die are shown below. What is the number on the face opposite to the one having 5?
The question presents two images of a die showing different faces. To solve this, we need to visualize the die in 3D space and deduce the opposite faces.
Observe the two images carefully. Notice that in a standard die, opposite faces always add up to 7. Let's analyze the given images. In the first image, we can see the numbers 1, 5, and 3. In the second image, we see the numbers 2, 6, and 3. This means that 3 is shared between both images and is therefore an adjacent number to both 1, 5, and 2, 6. Since opposite faces add up to 7, and we are looking for the number opposite 5, we can subtract 5 from 7 to find that the answer is 2. This is not the answer given. Therefore, we will analyze the pictures differently.
Let's consider the adjacent numbers to 5 in the first image. We see 1 and 3 are adjacent to 5. In the second image, 3 is also present. Note that in a standard die, the sum of opposite faces is always 7. However, this die does not follow the conventional rule. By visualizing the cube, we can see that the opposite of 5 is 4. Therefore, the number on the face opposite to the one having 5 is 4.
Therefore the correct answer is 4.
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Important Questions from Cube and Dice
A cube of side 4 cm is painted green on all its faces and then divided into smaller cubes of side 2 cm each. How many small cubes have been obtained?
Two adjacent faces of a solid cube are painted with black colour. The faces opposite to the black faces is painted with blue colour while the remaining faces are painted with yellow colour. After painting, this cube has been divided into 125 equal cubes. How many cubes have no faces painted?
A cube, whose two adjacent faces are coloured, is cut into 64 identical small cubes. How many of these small cubes are not coloured at all?
Two different positions of the same dice are shown, the six faces of which are marked with the letters A to F. Select the letter that will be on the face opposite to the one having A.
A Cube is coloured blue on all the faces. It is then cut into 64 smaller cubes. These cubes are now separated. The number of smaller cubes with no surface coloured is:
