Question

The length, breadth and height of a room are $850$ cm, $625$ cm and $475$ cm. respectively. Find the length of the longest rod that cam measure the dimensions of the room exactly.

Answer 1

Length of the longest rod can be placed along the diagonal of the given room.

Length of longest rod $=\sqrt{l^2+b^2+h^2}$

$=\sqrt{{850}^2+{625}^2+{475}^2}$ $cm$

$=\sqrt{722500+390625+225625}$ $cm$

$=\sqrt{1338750}=1157.04cm$