Math, asked by nikhil202, 1 year ago

the length breadth and height of a room are 8m 25cm,6m 85cm,4m 50cm. determ8the length breadth and height of a room are 8m 25cm,6m 85cm,4m 50cm. determine the of the longest rod which can measure the three dimensions of room exactlyne the length of the longest rod which can measure the three dimensions of room exactly

Answers

Answered by sneha09
4
the diagonal of that cuboid and that will be the answer
Answered by wifilethbridge
2

Answer:

The length of the longest rod which can measure the three dimensions of room exactly is 5 cm

Step-by-step explanation:

1 m = 100 cm

Length of room = 8 m 25 cm = 800 cm + 25 cm = 825 cm

Breadth of room = 6 m 85 cm = 600 +85 = 685 cm

Height of room = 4 m 50 cm = 400 +50 = 450 cm

We are supposed to find the longest rod which can measure the three dimensions of room exactly the length of the longest rod which can measure the three dimensions of room exactly .

So, we will find HCF

5 | 825         5   | 685       5 | 450

5 |  165        137 | 137        5 |  90

3 |  33                               2 |  18

11 |  11                                 3 |  9

   |  1                                  3 |  3

                                            |  1

HCF = 5

Hence the length of the longest rod which can measure the three dimensions of room exactly is 5 cm

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