A model length of 12 cm. represents an actual length of 102 feet. What is the scale model?
To find the scale of the model, we need to compare the length of the model to the actual length it represents. The scale is determined by dividing the actual length by the length of the model.
Given:
Model length = 12 cm
Actual length = 102 feet
1 feet = 30.48 cm (conversion factor)
First, convert the actual length from feet to cm:
Actual length in cm = 102 feet × 30.48 cm/foot
Actual length in cm = 3108.96 cm
Now, find the scale:
Scale = Actual length in cm / Model length in cm
Scale = 3108.96 cm / 12 cm
Simplifying the fraction:
Scale ≈ 259.08
Therefore, the scale model is approximately 1:259.08.
To find the scale model, we need to compare the lengths of the model and the actual object. The scale represents the ratio between the model length and the actual length.
Let's set up a proportion to solve for the scale:
(model length) / (actual length) = scale factor
Plugging in the given values:
12 cm / 102 feet = scale factor
Now, we need to convert the units to the same system. Since 1 foot equals 30.48 centimeters, we can convert the actual length to centimeters:
102 feet * 30.48 cm/ft = 3109.76 cm
Now we have:
12 cm / 3109.76 cm = scale factor
To simplify the scale factor, we can divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 4:
12 cm / 3109.76 cm ≈ 0.00386
Therefore, the scale factor of the model is approximately 0.00386.
You have to convert feet to centimeters here.
change 102 feet to inches by multiplying by 12.
Then convert inches to centimeters.
1 inch = about 2.5 cm, so divide the
inches by 2.5 to get centimeters.
Then take a ratio with the 12 cm. I think the scale is 40:1.