Question

The length, breadth and height of a room are 8m 25cm ,6m75cm, 4m50cm. Find the length of the longest rod that can be measure the three dimensions of the room

Answer 1

Answer:

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

Answer 2

Answer:

Find the area of the room which is basically lxbxh

And then find it's diagonal whose formula will be given in you book. The length of the diagonal is equal to the length of the longest rod.

Hope this helps you dear mate:)