Question

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

Answer 1

Hi ,

Dimensions of the room are ,

Length = l = 8m 50cm

l = 800cm + 50cm = 850 cm

b = 6m 25cm = 625 cm


h = 4m 75 cm = 475 cm

Length of the longest rod inserted in

the room = √l² + b² + h²

= √ ( 850 )² + ( 625 )² + ( 475 )²

= √ 722500 + 390625+ 225625

= √1338750

= 1157.04 cm

I hope this helps you.

:)