Question

Paula designed a three-dimensional scale model of a department store. The volume of the scale model was 35 cubic feet. The ratio of the dimensions of the model to the dimensions of the store was 1:20. Determine the volume of the actual department store that Paula planned to build

Answer 1

700 cubic feet

Explanation:

Volume of scale model = 35 cubic feet

ratio of the dimensions of the model to the dimensions of the store was 1:20

Therefore

dimensions of the model/ dimensions of the store = 1/20

we know that in scaling

dimensions of the model/ dimensions of the store = Volume of scale model / volume of the actual department store

Now substituting the value of scale model in the above ratio equation we have

1/20 = 35/volume of the actual department store

=> volume of the actual department store = 35*20 = 700

Therefore volume of the actual department store is 700 cubic feet