Question

A town planner creates plans for a new water tower. The tower is 96 feet tall and the tank is circular with a diameter of 64 feet.
I. The engineer builds a model of the tower with a scale of 1 inch : 8 feet. What are the dimensions of the model?
II. Suppose the engineer decides to build a second model such that the height of model is 30 inches. What is the scale for the model?

Answer 1

Hey there! Welcome to QuestionCove!!

We have a tower that is 96 feet tall and has a diameter of 64 feet

and we want to shrink it down to be a realistic toy model that has a scale of 1 inch for every 8 feet

Answer 2

To find out the dimensions of the model, just divide those numbers by 8

and that's going to be your dimensions for the model in inches!

Answer 3

What do you get? @bernadette

Answer 4

For the second part of your question

The height of the model is 30 inches
The actual size of the tower (which the model is based off of) is 96 feet

so we have a ratio of 30 inches : 96 feet

can you find the scale from that?
We want the scale to tell us 1 inch corresponds with how many feet

so if you divide both numbers by 30, you'll get your answer :)