The capacity of two pots is 120 litres and 56 litres respectively. Find the capacity of a container which can exactly measure the contents of the two pots = ?

1. 8000 cc
2. 9500 cc
3. 7500 cc
4. 7850 cc

Finding the Capacity of the Container

Understanding the Problem: We need to find the largest container that can exactly measure the contents of two pots with capacities 120 liters and 56 liters.

Solution: To find the largest container that can measure both pots exactly, we need to find the Highest Common Factor (HCF) of 120 and 56.

• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

The highest common factor of 120 and 56 is 8.

So, the largest container that can exactly measure the contents of both pots is 8 liters.

Converting liters to cubic centimeters:

• 1 liter = 1000 cubic centimeters (cc)
• 8 liters = 8 * 1000 cc = 8000 cc

Therefore, the capacity of the container is 8000 cc.

So, the correct answer is (A) 8000 cc.