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The length, breadth and height of …

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The length, breadth and height of a room are 8m 25cm, 6m 75cm and 4m 50cm respectively.Find the length of longest rod that can measure the three dimensions of the room exactly.

Posted by Jain Anil 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Somesh Smruti 4 years, 5 months ago

The longest rod is the diagonal of the room which is calculated as √(l^2+b^2+h^2) Convert all the values in cm Which is like L=825cm B=675 cm H=450cm Diagonal= √1338750cm^2=1157 cm

0Thank You

Khushi 4 years, 5 months ago

Using prime factorization: 825 = 3×52×11 675 = 33×52 450 = 2×32×52 From the above, HCF = 3×52 = 75 Hence, the longest rod which can measure the three dimensions of the room exactly will be 75 cm long.

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