Question

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 40 cm. What is the volume of each rectangular prism? Round your answer to the nearest cubic centimetre. Show your work for full marks.

Answer 1

Volume of Burj Khalifa Prism = 4000
`cm^2`

Volume of CN Tower Prism = 2671
`cm^2`

Explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides 10 cm
`*` 10 cm.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

`\Rightarrow 553 m` is represented as
`(40)/(828 ) * 553 = 26.71\ cm`

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

`V=Area\ of\ Base * Height`

Base is a square, so Area of base =
`Side^2`

Volume of Burj Khalifa Prism:

`V_B=10^2 * 40 = 4000\ cm^2`

Volume of CN Tower Prism:

`V_C=10^2 * 26.71 = 2671\ cm^2`

So, the answer is:

Volume of Burj Khalifa Prism = 4000
`cm^2`

Volume of CN Tower Prism = 2671
`cm^2`