The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m
50 cm respectively. Determine the length of the longest rope which can measure
the three dimensions of the room exactly.
Answers
Answer:
Answers
Given,
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 ).
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Answer:
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 is their H.C.F
H.C.F of 4.5 m and 6.75 m is 2.25 m.
And That Of 8.25 m , 6.75 m and 4.5 m is 0.75 m.
The Answer Is 0.75 m
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