Question

12.
The length, breadth and height of a room is 8 m 25 cm, 6 m 75 cm and 4 m 50 cm respectively. Determine
the longest tape which can be used to measure the three dimensions of the room exactly.
LOWEST COMMON MULTIPLE (LCM)​

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 = 75cm_____answer

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

I think my answer is capable to clear your confusion..