Hi  

let t = height of radio tower

rectangular prism-shaped building  with a square base

h = 5t

Square Base:

L = 5t-50

W = 5t -50

V = 5t(5t-50)^2 = 250,000m^3

V = 125t(t-10)(t-10) = 250000

V = t^3 -20t^2 + 100t - 2000 = 0

t = 20m (tossing out extraneous solutions)

Checking our answer:

100(50)(50) = 250000  Checks

Wish You the Best in your Studies. 

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!
 


Given:

height of tower = t

height of building: 5t  (5 times the height of the tower)

length and width of building: 5t-50 each  (50m less than the height of the building)

volume of building: 250,000 cubic meters


Volume = (length) times (width) times (height).





 

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