The length, breadth and height of a room are 8 m 25 cm, 6 m 75 an d 4 m 50 cm, respectively. Determine the longest rod which can measure the three dimensions of the room exactly.
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 = 5 x 5x 3x 3 x 2
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