A model car is a 1/43 scale model of the original car. What is the scale factor needed to find the dimensions of the original car? model car=4.2" long, 1.3"tall, and 1.6" wide?
length
(1/43)L = 4.2
L = 4.2 / 0.02326
L = 180.567 inches = 15.047 feet
Follow that pattern for the height and width.
To find the dimensions of the original car, you need to determine the scale factor. The scale factor is a ratio that relates the dimensions of the model car to the dimensions of the original car.
In this case, the model car is a 1/43 scale model of the original car. This means that every inch on the model car represents 43 inches on the original car.
To find the scale factor, divide the dimensions of the model car by the corresponding scale ratio. The scale ratio is given as 1/43, so let's calculate the scale factor for each dimension:
Length:
Scale factor = Model car length / Scale ratio = 4.2" / (1/43) = 4.2" * 43 = 180.6"
Height:
Scale factor = Model car height / Scale ratio = 1.3" / (1/43) = 1.3" * 43 = 55.9"
Width:
Scale factor = Model car width / Scale ratio = 1.6" / (1/43) = 1.6" * 43 = 68.8"
Therefore, the dimensions of the original car would be approximately 180.6 inches long, 55.9 inches tall, and 68.8 inches wide.