Question

the length breadth and height of a room is 6m 80cm, 5m 10cm, 3m 40cm respectively. Find the longest tape which can measure the dimensions of the room exactly

Answer 1

Answer:

6metre 80cm = 680 CM

5metre 10cm= 510 CM

3metre 40cm = 340CM

Answer 2

Answer:

Step-by-step explanation:The dimensions are 825 cm, 675 cm and 450 cm.

For any rod to be capable of measuring a side, the length of the side must be a multiple of the length of the rod.

Hence, we need a rod of length (in cm) which is a factor of 825 , 675 and 450.  

For the rod to be of highest possible length we need to find the HCF of 825 , 675 and 450.  

Using prime factorization:

825 = 3×52×11

675 = 33×52

450 = 2×32×52

From the above, HCF = 3×52 = 75

Hence, the longest rod which can measure the three dimensions of the room exactly will be 75 cm long.