Question

The Length breadth and height of a room are 8m 50 cm ,6 m 25 cm and 4 m 75 cm respectively find the length of the longest rod that can measure the dimensions of the room exactly

Answer 1

Answer:

Length of longest rod that can measure the dimensions of the room exactly is 1157 metre

Step-by-step explanation:

Length of room $=8m\hspace{0.1cm}50cm = 850cm$

Breadth of room $=6m\hspace{0.1cm}25cm = 625cm$

Heigth of room $=4m\hspace{0.1cm}75cm = 475cm$

Length of longest rod that can measure the dimension of the room exactly is the length of longest rod that can be placed in the room.

Also, longest rod is the diagonal.

Length of diagonal is calculated as

$Length = \sqrt{(\,850)\,^2 + (\,625)\,^2 + (\,475)\,^2}\\\\ Length = \sqrt{722500 + 390625 + 225625}\\\\ Length = \sqrt{1338750}\\\\ Length = 1157.05\\\\ Length \approx 1157$