Question
The Eiffel Tower is about 301 meters tall. Cooper is making a scale model of it using the scale factor 1:750.
To the nearest tenth of a meter, what will be the height of the scale model?
Enter your answer as a decimal in the box.
m
To the nearest tenth of a meter, what will be the height of the scale model?
Enter your answer as a decimal in the box.
m
Answers
GPT-4o mini
To find the height of the scale model of the Eiffel Tower, we can use the scale factor of 1:750. This means that every 750 meters on the real Eiffel Tower corresponds to 1 meter on the model.
The formula to determine the height of the scale model is:
\[
\text{Height of model} = \frac{\text{Height of Eiffel Tower}}{\text{Scale factor}}
\]
Given that the height of the Eiffel Tower is 301 meters, we can plug in the values:
\[
\text{Height of model} = \frac{301 \text{ meters}}{750}
\]
Calculating this:
\[
\text{Height of model} \approx 0.4013333 \text{ meters}
\]
Rounding to the nearest tenth of a meter:
\[
\text{Height of model} \approx 0.4 \text{ meters}
\]
Therefore, the height of the scale model is:
\[
\boxed{0.4} \text{ m}
\]
The formula to determine the height of the scale model is:
\[
\text{Height of model} = \frac{\text{Height of Eiffel Tower}}{\text{Scale factor}}
\]
Given that the height of the Eiffel Tower is 301 meters, we can plug in the values:
\[
\text{Height of model} = \frac{301 \text{ meters}}{750}
\]
Calculating this:
\[
\text{Height of model} \approx 0.4013333 \text{ meters}
\]
Rounding to the nearest tenth of a meter:
\[
\text{Height of model} \approx 0.4 \text{ meters}
\]
Therefore, the height of the scale model is:
\[
\boxed{0.4} \text{ m}
\]