Answer:
49 millimeters
Step-by-step explanation:
To determine how much longer the aluminum house siding is on a hot day at 37°C compared to a cold day at -28°C, we can use the coefficient of linear expansion for aluminum.
The coefficient of linear expansion for aluminum is approximately 22.2 x 10^(-6) per degree Celsius. This means that for every 1°C increase in temperature, aluminum expands by 22.2 x 10^(-6) times its original length.
First, we need to calculate the temperature difference between the hot day and the cold day:
Temperature difference = Hot temperature - Cold temperature
Temperature difference = 37°C - (-28°C)
Temperature difference = 37°C + 28°C
Temperature difference = 65°C
Next, we can calculate the increase in length using the coefficient of linear expansion:
Increase in length = Coefficient of linear expansion * Original length * Temperature difference
Increase in length = 22.2 x 10^(-6) * 3.40 m * 65°C
Increase in length ≈ 0.049 m
Therefore, the aluminum house siding would be approximately 0.049 meters (or 49 millimeters) longer on a very hot day at 37°C compared to a cold day at -28°C.