Question

Word statement problem h.c.f or l.c.m solve

The length , breadth and height of a room are 18m, 15m and 60m . Find the longest rod which can measure 3 dimension of the room​

Answer 1

Answer:

3 m

Step-by-step explanation:

The dimensions of the room are 18m, 15m, and 60m.

The given rod should be able to measure each of the 3 dimensions. So, it's length should be able to divide each of these three lengths. Thus, the length of rod will be a common factor of the three given lengths. Since we need the longest such rod, we have to find out the HCF of the three numbers.

18 = 2*3*3

15 = 3*5

60 = 2*2*3*5

We see that the common factors of the three numbers are : 3.

Thus, HCF of the numbers is 3.

So, we need a 3m length rod to measure the given dimensions of the room exactly.