Question

The length,breath and height of a room are 12m,15m and 18m respectively. Determine the length of the longest stick that can measure all the dimensions of the room in exact number of times?

Answer 1

Answer:

The longest length of stick that can measure all dimensions of the room is the Highest common factor it's length, Breadth, height.

Now, HCF of 12,15,18

12=3*2*2

15=3*5

18=3*3*2

Therefore, HCF of 12,15,18 is 3m.

The length of longest stick that can measure all the dimensions of the room in exact number of times is 3m

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