Question

The length, breadth and height of a room are 8m 25cm, 6m 75cm, 4m 50cm respectively. Determine the longest rod which can measure the three dimensions of the room exactly

Answer 1

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

Answer 2

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.


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