Burj Khalifa is the world tallest building in Dubai at 828 m tall.
The CN Tower in Toronto is 553 m tall.
Sam wants to compare the Burj Khalifa and the CN Tower by creating rectangular prism models on a 10 cm by 10 cm square base. She 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?
553/828 = x/50
Solve for x.
To find the height of the rectangular prism that Sam should use to represent the CN Tower, we can use proportions to compare the heights of the two real buildings with their respective models.
Let's first determine the scale factor between the real height of the Burj Khalifa and its model. The real height of the Burj Khalifa is 828 m, and its model has a height of 50 cm (which is equivalent to 0.5 m). So, the scale factor for the Burj Khalifa model is:
Scale factor = Height of model / Real height = 0.5 m / 828 m = 0.000604 %
Now, we can use the scale factor to find the height of the CN Tower model. The real height of the CN Tower is 553 m. Using the scale factor, we can multiply the real height of the CN Tower by this scale factor:
Height of CN Tower model = Real height of CN Tower * Scale factor
= 553 m * 0.000604
= 0.335012 m
Therefore, Sam should use a rectangular prism with a height of approximately 0.335 m to represent the CN Tower.