A model airplane is 11 inches in length. The actual length of the airplane is 209 feet. what is the scale used to build the model?
1 inch = 19 feet
To find the scale used to build the model airplane, we need to calculate the ratio between the length of the model and the actual length of the airplane.
Step 1: Convert the actual length from feet to inches.
Since 1 foot is equal to 12 inches, we can multiply the actual length (209 feet) by 12 to get the length in inches:
209 feet * 12 inches/foot = 2508 inches.
Step 2: Calculate the scale ratio.
The scale ratio is found by dividing the length of the model airplane by the actual length of the airplane:
Scale ratio = Length of model / Actual length
Scale ratio = 11 inches / 2508 inches.
Step 3: Simplify the scale ratio.
To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor. In this case, the scale ratio does not simplify any further, as there is no common factor between 11 and 2508 other than 1.
Therefore, the scale used to build the model airplane is 1:2508, which means that every inch on the model represents 2508 inches on the actual airplane.
To find the scale used to build the model airplane, we need to compare the length of the model to the length of the actual airplane. To do that, we can use the following formula to calculate the scale:
Scale = Actual Length / Model Length
Let's plug in the values given in the problem:
Model Length = 11 inches
Actual Length = 209 feet
But before we proceed, we need to ensure that the units for both lengths are the same. So let's convert the actual length from feet to inches:
1 foot = 12 inches
Therefore, the actual length in inches:
Actual Length = 209 feet * 12 inches/foot = 2508 inches
Now we can calculate the scale:
Scale = 2508 inches / 11 inches
Simplifying the equation gives us:
Scale = 228
Hence, the scale used to build the model airplane is 1:228. This means that every inch on the model represents 228 inches on the actual airplane.