Answer:
The metal rod cannot fit into the rectangular crate
The maximum length that can fit is 2.71 m
Step-by-step explanation:
step 1
Find the diagonal of the base of the rectangular crate
Applying the Pythagoras Theorem
Let
d ----> the diagonal of the base
[tex]d^2=0.8^2+1.2^2[/tex]
[tex]d^2=2.08[/tex]
[tex]d=1.44\ m[/tex]
step 2
Find the diagonal of the crate
Let
D ----> the diagonal of the crate
[tex]D^2=d^2+h^2[/tex]
where
d is the diagonal of the base
h is the height of the crate
we have
[tex]d=1.44\ m[/tex]
[tex]h=2.3\ m[/tex]
substitute the values
[tex]D^2=1.44^2+2.3^2[/tex]
[tex]D^2=7.36[/tex]
[tex]D=2.71\ m[/tex]
therefore
The metal rod cannot fit into the rectangular crate
The maximum length that can fit is 2.71 m
