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.

Answer:The maximum length of the string is 8 cm exactlyStep-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