Question

The dimensions of a room are 6 m 75 cm, 4 m 50 cm and 2 m 25 cm. Find the length of the largest measuring rod which can measure the dimensions in exact number of times

Answer 1

largest rod=root over(6.75×6.75+4.5×4.5+2.25×2.25) m








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Answer 2

Answer:

Length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm, respectively.  

Length = 825 cm

Breadth = 675 cm

Height = 450 cm

HCF of 825, 675, 450

825 = 5 x 5 x 3 x 11

675 = 5 x 5 x 3 x 3 x 3

450 = 2 x 3 x 3 x 5 x 5

HCF = 5 x 5 x 3 = 75

Therefore, the length of the longest rod which can measure the three dimensions of the room exactly is 75 cm.