The number of pairs in the 12 face diagonals of a rectangular block that are skew lines are: 30.
It is to be noted that there are 12 faces; and
One diagonal represents 5 skew lines.
Hence the total number of skew lines are;
12 x 5 = 60
Recall that each pair is counted twice, hence, to get the final answer, we need to divide by two:
Thus, total number of lines that are skewed are:
60/2
= 30 skew lines.
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