Three Dimensional Geometry Question 327

Question: A parallelopiped is formed by planes drawn through the points (2, 4, 5) and (5, 9, 7) parallel to the coordinate planes. The length of the diagonal of the parallelepiped is

Options:

A) 8

B) 4

C) 7

D) 11

Show Answer

Answer:

Correct Answer: C

Solution:

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