To solve this problem, we need to calculate the height of a stack of pennies worth $228, given that each penny is 1.55 millimeters thick.

Step-by-step solution:

1. Determine how many pennies are in $228: Each penny is worth $0.01, so we divide $228 by $0.01 to find the number of pennies: $\text{Number of pennies} = \frac{228}{0.01} = 22800 \text{ pennies}.$

2. Calculate the total height of the stack in millimeters: If each penny is 1.55 mm thick, the height of 22800 pennies is: $\text{Height in millimeters} = 22800 \times 1.55 = 35340 \text{ mm}.$

3. Convert millimeters to meters: Since there are 1000 millimeters in a meter, we divide the total height in millimeters by 1000: $\text{Height in meters} = \frac{35340}{1000} = 35.34 \text{ meters}.$

Final Answer:

The height of the stack of $228 worth of pennies is 35.34 meters.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would the total height change if the thickness of each penny was slightly less, say 1.5 mm?
2. What would be the height of $100 worth of pennies, assuming the same thickness?
3. How many pennies would it take to make a stack 100 meters tall?
4. If the pennies were stacked inside a building, how many floors would this stack reach if each floor is 3 meters tall?
5. How thick would each penny need to be for the stack of $228 worth to be exactly 50 meters tall?

Tip:

When dealing with large units, always ensure you convert consistently between different units (e.g., millimeters to meters) to avoid errors.