a building is 219 feet tall. for a class project, jim is to make a scale model of the building to place in the front hall display case. the display case is 28 inches tall. which scale will allow him to make the tallest model that will fit in the display case?
28in:219ft = 28in:2628in
a scale of 1:90 will need 29.2 in
a scale of 1:100 will need 26.28 in
a scale of 93.85 will be more exact, but I'd go with the 1:100 scale
21
To determine the scale that will allow Jim to make the tallest model that will fit in the display case, we need to compare the heights of the actual building and the display case.
1. Convert the height of the building from feet to inches:
219 feet * 12 inches/foot = 2628 inches
2. Calculate the scale factor by dividing the height of the building by the height of the display case:
Scale factor = Height of the building / Height of the display case
= 2628 inches / 28 inches
= 94
Therefore, the scale that will allow Jim to make the tallest model that will fit in the display case is 1:94. This means that for every 1 inch on the model, it represents 94 inches on the actual building.