The length, breadth and height is 32 cm, 16 cm and 8 cm. What is the maximum length of the string that can be used to measure the sides of a box exactly.

The maximum length of the string is 8 cm exactly

Step-by-step explanation:

* Lets explain how to solve the problem

- To find the maximum length of the the string that can be used to

measure the sides of a box exactly find the highest common factor

of the dimensions of the box

- The length, breadth and height is 32 cm, 16 cm and 8 cm

∵ The length = 32 cm

∵ The breadth = 16 cm

∵ The height = 8 cm

- Lets find their factors

∵ 32 = 2 * 2 * 2 * 2 * 2

∵ 16 = 2 * 2 * 2 * 2

∵ 8 = 2 * 2 * 2

∴ The highest common factor = 2 * 2 * 2

∴ The highest common factor is 8

∴ The maximum length of the string that can be used to measure

the sides of a box exactly is 8 cm