Question

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

Answer 1

Step-by-step explanation:

Given length l = 12 m

breadth b = 9 m and

height h = 8 m Longest rod that can be placed in a room is nothing but its diagonal.

Length of diagonal of a cuboid = √(l2 + b2 + h2)

Length of longest rod = √(122 + 92 + 82) m

= √(144 + 81 + 64) m

= √289 m = 17 m

Thus ,the length of the longest rod is 17 m

Answer 2

Length l = 10cm

Breadth b = 6cm

Height h = 4cm

Length of diagonal of cuboid

=

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

Length of longest rod

=

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

=

$\sqrt{(144 + 81 + 64)}$

=

$\sqrt{289} cm$

=

$17cm$

thus , length of longest rod ia 17cm

Hope it will help you .