Question

The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm respectively. Determine the longest rod which can measure the three dimensions of the room exactly.​

Answer 1

Answer:

75 cm

Step-by-step explanation:

8m25cm=825m

6m75cm=675m

4m50cm=450m

HCF of 825,625 and 450 is:

825=3×5×5×11

675=3×3×3×5×5

450=2×3×3×5×5

= 5×5×3 = 75cm

Answer 2

Answer:Heya mate ☺✌here your answer is:-⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

The dimensions are 825cm,675cm and 450cm.

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

Hence,we need a rod of length(in cm)

which us a factor of 825,675 and 450.

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

using prime factorization:

825=3×5^2×11

625=3^3×5^2

450=2×3^2×5^2

From the above,HCF=3×5^2=75

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

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