Brandon is making a model plane at a 1:36 scale. If the length of the actual plane is 60 feet, how many inches long should he make his model?
60/36 ft * 12in/ft
Brandon is making a model plane at a 1:36 scale. If the length of the actual plane is 60 feet, how many inches long should he make his model?
To find the length of the model plane at a 1:36 scale, we need to set up a proportion using the given information.
Let's start by converting the length of the actual plane from feet to inches. Since there are 12 inches in a foot, the length of the actual plane in inches would be 60 feet x 12 inches/foot = 720 inches.
Now, we can set up the proportion:
Actual length / Model length = Conversion factor
Where the conversion factor is the ratio of the actual scale to the model scale.
In this case, the actual scale is 1 and the model scale is 36 because 1:36 is the relationship between the actual plane and the model.
So, the proportion will be:
720 inches / Model length = 1 / 36
To find the length of the model, we can cross-multiply and solve for Model length:
720 inches x 36 = Model length x 1
25920 inches = Model length
Therefore, Brandon should make his model plane 25,920 inches long.