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A parallelepiped is formed by planes ...

A parallelepiped is formed by planes drawn through the points `P(6,8,10)a n d(3,4,8)` parallel to the coordinate planes. Find the length of edges and diagonal of the parallelepiped.

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From the figure, it is clear that the length of the edges of the parallelepiped `a, b, c` is `x_(2)-x_(1), y_(2)-y_(1), z_(2)-z_(1)` or `6-3, 8-4 and 10-8 or 3, 4 and 2`. Therefore,

The length of the diagonal will be
`" "sqrt(a^(2)+b^(2)+c^(2))=sqrt(9+16+4)=sqrt(39)`.
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