Answer: 1/125,000
Step-by-step explanation:
If the lenght of the building is L, the height is H, and the width is W, the volume of the building is V = L*H*W
Then for the model we will have that each measure is 1/50 times the original, this is:
lenght = L/50
height = H/50
widht= W/50
The volume of the scale model is:
V' = (L/50)*(H/50)*(W/50) = L*H*W/50^3
So we have the volume of the actual building divided 50^3
This means that the volume of the scale is 1/50^3 = 1/125,000 times the volume of the actual building.
