Question

The length breadth and height of a room are 8m 50 cm 6m 25cm and 4m75cm. find the length of the longest rod that can measure the dimension of the room exactly ​

Answer 1

Answer:

11.6  meters  approx.

Step-by-step explanation:

Length of room (l) = 8m 50cm = 8.5 m

Breadth of room (b) = 6m 25cm =6.25 m

Height of room (h) = 4m 75cm = 4.75 m

$\text{Length of longest rod that can fit the room}\\\\= \sqrt{l^2 + b^2 + h^2}\\\\= \sqrt{(8.5)^2 + (6.25)^2 + (4.75)^2}\\\\= \sqrt{72.25 + 39.0625 + 22.5625}\\\\= \sqrt{133.875}\\\\= 11.5704365\\\\= \large \underline{\boxed{\boxed{\boxed{\boxed{\bold{\sf{11.6 \: meters \: approx.}}}}}}}$