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 $