Respuesta :

The number of pairs in the 12 face diagonals of a rectangular block that are skew lines are: 30.

What is the explanation for the above?

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.

Learn more about skew lines at;
https://brainly.com/question/1995934
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