Question

A parallelepiped is formed by planes drawn through the point $P(6,8,10)$ and $Q(3,4,8)$ parallel to the coordinate planes. Find the length of edges and edges and diagonals of the parallelepiped.

Answer 1

[A] $P=(6,8,10)$

$Q=(3,4,8)$

$P_1$=X=6 $P_1^1$ X = 3

$P_2$=Y=8 $P_2^1$ Y = 4

$P_3$=Z=10 $P_3^1$ Z = 8

SO,

$l=6-3=3$

$b=8-4=4$

$h=10-8=2$

diagonal =$\sqrt{l^2+b^2+h^2}$

=$\sqrt{3^2+4^2+2^2}$

=$\sqrt{9+16+4}$

= $\sqrt{29}$