Answer: a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.
Step-by-step explanation:
Since we have given that
Height of building = 1250 feet
Length of building = 424 ft
Width of building = 187 ft
Now, we know that The miniature version is just 1/ 2500 of the size of the original.
So, Height of miniature would be
![\dfrac{1250}{2500}=0.5\ ft](https://tex.z-dn.net/?f=%5Cdfrac%7B1250%7D%7B2500%7D%3D0.5%5C%20ft)
Length of miniature would be
![\dfrac{424}{2500}=0.17\ ft](https://tex.z-dn.net/?f=%5Cdfrac%7B424%7D%7B2500%7D%3D0.17%5C%20ft)
Width of miniature would be
![\dfrac{187}{2500}=0.08\ ft](https://tex.z-dn.net/?f=%5Cdfrac%7B187%7D%7B2500%7D%3D0.08%5C%20ft)
a) What are the dimensions of the miniature Empire State Building?
Dimensions of miniature is 0.17 × 0.08 × 0.5
b. Determine the volume of the miniature building. Explain how you determined the volume.
![Volume=0.5\times 0.08\times 0.17=0.006\ ft^3](https://tex.z-dn.net/?f=Volume%3D0.5%5Ctimes%200.08%5Ctimes%200.17%3D0.006%5C%20ft%5E3)
Hence, a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.