Question

find the length of the longest rod that can be placed in a room 12m x 9m x 8m?

Answer 1

the longest rod will be the diagonal
diagonal =√a^2+b^2+c^2
=√12^2+9^2+8^2
=√144+81+64
= √289
=17 m(ans)
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Answer 2

$<font size = 7>⍟</font>$ Longest rod = Diagonal of cuboid

= √( l²+b²+h²)

=√(12² + 9² + 8² )

=√( 144+81+64)

=√(289)

=17

Hence, longest rod that can be placed in a room of dimensions 12m x 9m x 8m is 17 m