the Length breadth and height of a room are 8 metre 25 CM 6 CM 75 cm and 4m 50 CM, respectively determine the longest rod which can measure the three dimensions of the room exactly
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Length = 8 m 25 cm = 8.25 m
Breadth = 6 m 75 cm = 6.75 m
Height = 4 m 50 cm = 4.5 m.
The longest rod that can measure all 3 dimensions of room exactly is their H.C.F.
4.5 ) 6.75 ( 1
4.50
-----------------
2.25 ) 4.5 ( 2
4.5
-------------
x
So, H.C.F of 4.5 m and 6.75 m is 2.25 m.
Now ,
2.25 ) 8.25 ( 3
6.75
--------------
1.5 ) 2.25 ( 1
1.5
------------
0.75 ) 1.5 ( 2
1.5
-------------
x
So, the H.C.F of 8.25 m , 6.75 m and 4.5 m is 0.75 m.
Hence , answer is 0.75 m ( 75 cm ).
your answer is "75cm"
Explaination
____
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..