Question

find the length of the longest rod that can be put in the room dimensions 10cm into 6cm into 4cm​

Answer 1

Answer:

Length l = 10cm

Breadth b = 6cm

Height h = 4cm

Length of diagonal of cuboid

=

\sqrt{( {l}^{2} } + {b}^{2} + {h}^{2} )

(l

2

+b

2

+h

2

)

Length of longest rod

=

\sqrt{(122 + 92 + 82)} cm

(122+92+82)

cm

=

\sqrt{(144 + 81 + 64)}

(144+81+64)

=

\sqrt{289} cm

289

cm

=

17cm17cm

thus , length of longest rod ia 17cm

Hope it will help you .