An architect is planning a building in the shape of a rectangular prism. The length of the building is 20 feet more than its width and the height is 10 feet more than twice its width The inside volume of the building is 2,000,000 cubic feet. A model of the building is constructed using the scale 10 feet to 2 inches. Find the dimensions of the model in inches.
2 answers
I am having trouble with this story problem.
If the width is w, then we have
w(w+20)(2w+10) = 2000000
solve that for w, and you have w ≈ 92.017
Just for grins, say w=92 (then the volume is 92x112x194 = 1,998,976)
Anyway, just multiply the dimensions by 2"/10' = 1/60 to get the dimensions in inches.
I guess, since it won't come out even, you might as well use w=92.017 ft
w(w+20)(2w+10) = 2000000
solve that for w, and you have w ≈ 92.017
Just for grins, say w=92 (then the volume is 92x112x194 = 1,998,976)
Anyway, just multiply the dimensions by 2"/10' = 1/60 to get the dimensions in inches.
I guess, since it won't come out even, you might as well use w=92.017 ft
5 answers