Question

Question 10 Leon has four barrels, each with a mass of 30kg to the nearest 10 kg. (a) Find the minimum possible mass of the four barrels. (b) Find the maximum possible mass of the four barrels​

Answer 1

Explanation:

(a) To find the minimum possible mass of the four barrels, we want to arrange them in a way that minimizes the total mass. One way to do this is to put the two lightest barrels together and the two heaviest barrels together. This way, the total mass is minimized because the lighter barrels balance out the heavier ones.

So, the minimum possible mass of the four barrels is:

2(30 kg) + 2(30 kg) = 120 kg

(b) To find the maximum possible mass of the four barrels, we want to arrange them in a way that maximizes the total mass. One way to do this is to put the heaviest barrel with the lightest barrel and the other two barrels together. This way, the total mass is maximized because the heaviest and lightest barrels are paired together, making the total mass greater than if they were all paired together.

So, the maximum possible mass of the four barrels is:

30 kg + 90 kg + 30 kg + 30 kg = 180 kg