The world's tallest building is the Burj Khalifa in Dubai at 828 m tall.
The CN Tower in Toronto is 553 m tall.
Ryan wants to compare the Burj Khalifa and the CN Tower by creating rectangular prism models on a 10 cm by 10 cm square base. He has decided to represent the Burj Khalifa with a rectangular prism that has a height of 50 cm.
What is the height of the rectangular prism he should use to represent the CN tower?
To determine the height of the rectangular prism that represents the CN Tower, we need to use the given information about the heights of the actual buildings and the scale of the models.
We know that the Burj Khalifa is 828 m tall and the CN Tower is 553 m tall. Since both models are based on a 10 cm by 10 cm square base, we can set up a proportion to find the height of the CN Tower model.
Let's set up the proportion:
Actual height of Burj Khalifa / Height of Burj Khalifa model = Actual height of CN Tower / Height of CN Tower model
Converting the heights into the same units (cm), we have:
828 m = 82800 cm
553 m = 55300 cm
Let's plug in the values into the proportion:
82800 cm / 50 cm = 55300 cm / x
To solve for x, we can cross multiply:
82800 cm * x = 55300 cm * 50 cm
Now, divide both sides of the equation by 82800 cm:
x = (55300 cm * 50 cm) / 82800 cm
Simplifying the equation:
x = 3315000 cm / 82800 cm
x ≈ 40.04 cm
Therefore, the height of the rectangular prism that Ryan should use to represent the CN Tower is approximately 40.04 cm.