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

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step-by-step explanation:

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