The length, breadth and height of a room are 12m, 15m and 18m respectively. Determine the longest tape which can measure all the three dimensions of the room exactly?
Answers
Answer:
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Step-by-step explanation:
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.
hope it helps u dear .....
Answer:
Step-by-step explanation:
Looks like it is Highest Common Factor ( HCF )!
To find the longest tape, we have to find the highest common factor of the Length ( 12 m ), Breadth ( 15 m ) and Height ( 18 m ).
We would have to calculate the highest common factor of 12, 15 and 18.
The factors of 12
Factors 12
3 4
2 2
2 1
Factors : 3 × 2 × 2
The factors of 15
Factors 15
3 5
5 1
Factors : 3 × 5
The factors of 18
Factors 18
3 6
3 2
2 1
Factors : 3 × 3 × 2
As you can see, the highest common factors of the three numbers is 3.
Therefore, the longest tape which can measure all the three dimensions of the room is exactly 3 m.