Question

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

Answer 1

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

Answer 2

Answer:

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

Step-by-step explanation:

Given : The length 'breadth and height of a room are 12m 15m and 18m respectively.

To find : Determine the length of longest stick that can measure all the dimensions of the room in exact number of times?

Solution :

To determine the length of longest stick that can measure all the dimensions of the room in exact number of times we apply the highest common factor as HCF is the common factor of the numbers.

Now, We find the HCF of 12,15 and 18.

Factoring the numbers,

$12=2\times 2\times 3$

$15=3\times 5$

$18=2\times 3\times 3$

The common factor is all the number is 3.

So, The HCF of 12,15 and 18 is 3.

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