Final answer:
To find the number of U.S. dimes needed to match the height of the Statue of Liberty, convert the statue's height to millimeters and divide by the thickness of one dime. Approximately 68862 dimes would be required to reach a height of 305 feet.
Step-by-step explanation:
The Statue of Liberty in New York City is a symbol of freedom around the world, standing approximately 305 feet tall. A student asked how many U.S. dimes would form a stack of the same height, given each dime is 1.35 mm thick.
To calculate this, first convert the height of the Statue of Liberty to millimeters: 305 feet is 305 * 12 inches, and each inch is 25.4 mm. Therefore, the total height in millimeters is 305 * 12 * 25.4 mm. Then, divide this number by the thickness of a single dime to get the number of dimes needed for a stack of equivalent height.
Calculation Steps:
- Convert 305 feet to inches: 305 ft * 12 in/ft = 3660 inches.
- Convert inches to millimeters: 3660 in * 25.4 mm/in = 92964 mm.
- Divide by the thickness of one dime: 92964 mm / 1.35 mm/dime = approximately 68862 dimes.
Therefore, a stack of approximately 68862 dimes would match the height of the Statue of Liberty.