Six letters P, Q, R, S, T and U are written on different faces of a dice. Two positions of this dice are shown in the following figure. Find the letter on the face opposite to to S.
The solution involves visualizing the dice and its rotations. The image shows two views of the same die.

Observe the following from the given image:
Now, imagine rotating the dice. Since Q is common, we can deduce the relative positions of the other letters. We see that if Q is fixed, then T and S are on opposite faces. Similarly, we see that R is opposite to S. Therefore, the letter on the face opposite to S is R.
Consider this step-by-step:
This process reveals that R is opposite to S.
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Select the possible cubes that can be formed by folding the given sheet.
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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.