Question

Longest rod which can be kept inside a rectangular box is 17cm.Length=12cm,breadth=8cm.Find the inner height...

Answer 1

so the length of the longest rod
which can kept in the room is
= 17.
hence height of room =
root under 17^2 -(12^2 +8^2)
》root under (289-208)
》root under 81.
》9 cm.is the height of room.

That's all

Answer 2

Hi friend
--------------
Your answer
-------------------

Longest rod that. can be kept inside a rectangular box = The diagonal of the box

Measure of the rod = 17 cm

Length of the rectangular box = 12 cm

Breadth of the rectangular box = 8 cm

Height of the rectangular box =?

$digonal \: of \: a \: cuboid \: = \sqrt{(length) {}^{2} +(breadth) {}^{2} + (height) {}^{2} }$
$17 = \sqrt{(12) {}^{2} + (8) {}^{2} + (height) {}^{2} } \\ \\ (17 ) {}^{2} = \: ( \sqrt{144 + 64 + (height) {}^{2} } ) {}^{2} .....squaring \: both \: sides \\ \\ 289 = 208 + (height) {}^{2} \\ \\ (height) {}^{2} = 289 - 208 \\ \\ (height) {}^{2} = 81 \\ \\ height = \sqrt{81} \\ \\ height = 9 \: cm$
THEREFORE,
---------------------

The height of the rectangular box is 9 cm.

HOPE IT HELPS

#ARCHITECTSETHROLLINS

✯ BRAINLY STAR ✯