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

Answer:

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

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

Step-by-step 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 $\times$ 10 cm.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

$\Rightarrow 553 m$ is represented as $\frac{40}{828 } \times 553 = 26.71\ cm$

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

Volume of a Prism is given by the Formula:

$V=Area\ of\ Base \times Height$

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

Volume of Burj Khalifa Prism:

$V_B=10^2 \times 40 = 4000\ cm^2$

Volume of CN Tower Prism:

$V_C=10^2 \times 26.71 = 2671\ cm^2$

So, the answer is:

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

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