A scale of a model is the ratio between any length on the model and the corresponding length on actual object.
Item
Model
Actual
House
Height: 6 ft
Height: 30 ft
Practice makes perfect
We want to find the missing dimension using the scale of 1:5. We can recall that a scale of a model is the ratio between any length on the model and the corresponding length on actual object. Next, we can consider the given table.
Item
Model
Actual
House
Height: 6 ft
Height: â–¡ ft
Now we can write that the height scale factor is equal to the ratio of the height of the model house to the height of the actual house.
Height Scale Factor=Height of the Model House/Height of the Actual House
In this case, we know that the model of the house has the height of 6 feet. We also know that a scale of 1:5 means that the actual house is five times the size of the model.
Finally, we can substitute 1:5 for the scale factor and 6 feet for the height of the model in our formula. We can also represent the height of the actual house with an arbitrary variable h. Let's solve our formula for h!
Height Scale Factor=Height of the Model House/Height of the Actual House
