-->

Probability

Question
CBSEENMA9003494

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

Solution

For room
l = 12m b = 9 m h = 8 m
Length of the longest rod that can be placed in the room
= Length of the diagonal
equals square root of straight l squared plus straight b squared plus straight h squared end root
equals space square root of left parenthesis 12 right parenthesis squared plus left parenthesis 9 right parenthesis squared plus left parenthesis 8 right parenthesis squared end root
equals square root of 144 plus 81 plus 64 end root
equals square root of 289 equals 17 space straight m.