Answer:
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
