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solve a question for me. length breath and height of a cuboidal room are 6.15m ,4.25m,and 3.15m.Find the length of the longest rod required to measure each of the length breath and height of the room completel [exactly].Also find how many times we will use this rod of longest length to measure length,breath and height.
Asked by d17896354 | 29 Sep, 2023, 06:25: AM Expert Answer
Longest rod to measure all the dimesions of room exacly is obtained by finding the HCF of room dimesions.

Length = 6.15 m = 0.05 × 123 m
Breadth = 4.25 m = 0.05 × 85 m
Height = 3.15 m = 0.05 × 63 m

From above expressions , we get HCF = 0.05 m . Hence longest rod to measure all the dimensions of room completely is 0.05 m

The longest dimension, i.e., length of the room is measured 123 times using this rod of length 0.05 m
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