What is the greatest length of the rod which can be kept in a room $12 m \times 9 m \times 8 m$ ?

21 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

29 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

17 m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $17 m$
Given dimensions of the room (cuboidal in shape) are
$l = 12 m, b = 9 m$ and $h = 8 m$
The greatest length of the rod is the length of diagonal in a cuboid.
Length of diagonal of cuboid, $d = \sqrt{l^{2} + b^{2} + h^{2}} = \sqrt{12^{2} + 9^{2} + 8^{2}} = \sqrt{144 + 81 + 64} = \sqrt{289} = 17 m$

Suggest Corrections

Similar questions

The length of the longest pole that can be kept in a room $(12 m \times 9 m \times 8 m)$ is

(a) 29 m (b) 21 m (c) 19 m (d) 17 m

12 m

8 m

9 m

Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

The length of the longest bar that can be fixed in a room of dimensions 12 m $\times$ 9 m $\times$ 8 m is ___ m.

12 m

8 m

Join BYJU'S Learning Program