A model airplane is made on a scale of 1:128.
A)What is the scale factor of the model?
B)If the airplane has a wingspan of 30 cm, what is the wingspan of the actual airplane?
To answer these questions, you need to understand the concept of a scale factor and how it relates to the given scale ratio.
A) The scale factor of a model is the ratio between the measurements of the model and the actual object. In this case, the scale ratio given is 1:128. To determine the scale factor, you can use the following formula:
Scale factor = 1 / (128)
The scale factor represents how many times smaller or larger the model is compared to the real object. In this case, the scale factor is 1/128, which means the model is 1/128th the size of the actual object.
B) To find the wingspan of the actual airplane, you can use the scale factor and the measurement given for the model's wingspan (30 cm).
Actual wingspan = Model wingspan x Scale factor
Actual wingspan = 30 cm x (1/128)
Calculating this, you will find:
Actual wingspan = 0.234375 cm.
Therefore, if the model airplane has a wingspan of 30 cm, the wingspan of the actual airplane would be approximately 0.234375 cm.