Question

The length, breadth and height of a room are 9m 80 cm, 8 m 40 cm and 4m 20 cm respectively. Find the longest tape which can be measure the all three dimensions of room exactly.

Answer 1

140cm

Explanation:

exactly.

ChatGPT

To find the longest tape that can measure all three dimensions of the room exactly, we need to find the greatest common divisor (GCD) of the lengths, breadths, and heights.

Converting the measurements to a single unit (centimeters) for easier calculation:

Length = 9m 80cm = (9 * 100) + 80 = 980 cm

Breadth = 8m 40cm = (8 * 100) + 40 = 840 cm

Height = 4m 20cm = (4 * 100) + 20 = 420 cm

Now, we can find the GCD of 980, 840, and 420 to determine the longest tape that can measure all three dimensions exactly.

The GCD of 980, 840, and 420 is 140 cm.

Therefore, the longest tape that can measure all three dimensions of the room exactly is 140 cm.