The length, breadth and height of a room are 8m 25cm,6m 25cm and 4m 50cm respectively. Find the length of longest rood that can measure the three dimensions of the room exactly
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,hope rest of the part you can do... Take out square of each one and then add... Then just square root your sum or do prime factorisation.. Your answer will come in cm
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Solution :-
Length of the room = 8.25 m or 825 cm
Breadth of the room = 6.75 m = 675 cm
Height of the room = 4.50 m = 450 cm
We have to find the longest rod that can measure the three dimensions of the room exactly. For this, we have to find the Highest Common Factor of 825, 675 and 450.
Prime factorization of 825 = 3*5*5*11
Prime factorization of 675 = 3*3*3*5*5
Prime factorization = 450 = 2*3*3*5*5
Common factors = 3*5*5
H.C.F. = 75
Hence, H.C.F. of 825, 675 and 450 is 75
The length of the longest rod is 75 cm which can measure the three dimensions of the room exactly.
Answer.
Length of the room = 8.25 m or 825 cm
Breadth of the room = 6.75 m = 675 cm
Height of the room = 4.50 m = 450 cm
We have to find the longest rod that can measure the three dimensions of the room exactly. For this, we have to find the Highest Common Factor of 825, 675 and 450.
Prime factorization of 825 = 3*5*5*11
Prime factorization of 675 = 3*3*3*5*5
Prime factorization = 450 = 2*3*3*5*5
Common factors = 3*5*5
H.C.F. = 75
Hence, H.C.F. of 825, 675 and 450 is 75
The length of the longest rod is 75 cm which can measure the three dimensions of the room exactly.
Answer.
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