Question

A parallelopiped is formed by planes drawn through the points (2, 3, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of the parallelopiped is

• A. 7
• B. 8
• C. 4
• D. 11

Answer 1

Answer: (A)

7

The length of the edges are given by
$a=5-2=3,6=9-3=6$ and $c=7-5=2$, so length of the diagonal
$=\sqrt{a^2+b^2+c^2}$
$=\sqrt{9+36+4}=7units$