if 2 meters of a wire weigh 24.8 grams, how much do 6 meters of wire weigh?

3 times as long, so 3 times as heavy.

To find out how much 6 meters of wire weigh, we can use proportions.

First, let's set up a proportion using the given information:
2 meters of wire weigh 24.8 grams.

So, for every 2 meters, there are 24.8 grams.

Now, we need to find out how much 6 meters of wire weigh. To do that, we can set up the proportion:
2 meters / 24.8 grams = 6 meters / x grams

To solve this proportion, we can cross-multiply and solve for x:

2 * x = 6 * 24.8

2x = 148.8

Finally, divide both sides of the equation by 2 to solve for x:

x = 148.8 / 2

x = 74.4

Therefore, 6 meters of wire weigh 74.4 grams.