Question

Determine if a metal rod of 2.8m can fit into a rectangular crate with dimensions 0.8m, 1.2m and 2.3m

Answer 1

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

$d^2=0.8^2+1.2^2$

$d^2=2.08$

$d=1.44\ m$

step 2

Find the diagonal of the crate

Let

D ----> the diagonal of the crate

$D^2=d^2+h^2$

where

d is the diagonal of the base

h is the height of the crate

we have

$d=1.44\ m$

$h=2.3\ m$

substitute the values

$D^2=1.44^2+2.3^2$

$D^2=7.36$

$D=2.71\ m$

therefore

The metal rod cannot fit into the rectangular crate

The maximum length that can fit is 2.71 m