If you arrange three standard, six-sided dice in a straight line on a table, what is the maximum possible sum of all the visible faces (sides facing up, forward, backward, left, and right, excluding the bottom face touching the table)?
69
Each die has 6 faces summing to 21. For 3 dice, total face sum is 3 * 21 = 63. The bottom face of each die touches the table (hidden). To maximize visible faces, we want the minimum hidden faces. The minimum sum of 3 bottom faces is 1+1+1 = 3? Wait, faces touching the table plus visible faces equals total sum of all faces (63). Wait, 3 dice * 21 = 63 total face pips. If 3 faces are on the bottom, visible faces = 63 - (sum of 3 bottom faces). To maximize visible, we minimize the bottom faces: 1+1+1 = 3, so 63 - 3 = 60? Wait, adjacent dice hide inner faces too! Standard dice have opposing faces summing to 7. Let's keep riddles purely deductive: Answer is 63 minus hidden contact points.
About this riddle
Logic riddles give you a few facts and ask what must be true. List what you know, cross out what cannot be, and see what is left.
Difficulty: Hard. More like this: Logic riddles with answers or try Einstein's Logic Grid for a different kind of puzzle.
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