Question

The dimensions of a room are 6m 75 cm , 4m 50 cm and 2m 25 cm. Find the length of the largest measuring rod which can measure the dimensions in exact number of times

Answer 1

Answer:

The length of the longest rod which can measure the three dimensions of the room exactly is 225 cm.

Step-by-step explanation:

• Length, breadth and height of a room are 6 m 75 cm, 4 m 50 cm and 2 m 25 cm, respectively.  

Length = 6 m 75 cm =675 cm

Breadth = 4 m 50 cm = 450 cm

Height = 2 m 25 cm = 225 cm

• The longest rod which can measure the three dimensions of the room exactly is the Highest Common Factor of  825,675 ad 450.

• HCF of 225, 675, 450

      225 = 5 x 5 x 3 x 3

      675 = 5 x 5 x 3 x 3 x 3

      450 = 2 x 3 x 3 x 5 x 5

Hence the HCF is  = 5 x 5 x 3 x 3= 225

• Therefore, the length of the longest rod which can measure the three dimensions of the room exactly is 225 cm.

Answer 2

Step-by-step explanation:

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