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

Open in App

Solution

Length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm, respectively.

Length = 825 cm
Breadth = 675 cm
Height = 450 cm

HCF of 825, 675, 450

825 = 5 x 5 x 3 x 11
675 = 5 x 5 x 3 x 3 x 3
450 = 5 x 5x 3x 3 x 2

HCF = 5 x 5 x 3 = 75

Therefore, the length of the longest rod which can measure the three dimensions of the room exactly is 75 cm

Suggest Corrections

Similar questions

Q. The length, breadth and height of a room are 8m25cm,6m75cm and 4m50cm respectively. Find the length of the longest rod that can measure the three dimensions of the room exactly.

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

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

Q. The length, breadth and height of a room are

12 m, 15 m

and

18 m

respectively. Determine the longest tape which can measure all the three dimensions of the room exactly.

The length breadth height of room are 825cm 675cm and 450cm respectively find the longest tape which can measure the three dimensions of the room exactly

Join BYJU'S Learning Program