MHB Scale Drawing: What is the real length of the bus

AI Thread Summary
The scale of the model bus is 4 cm to 3 m, indicating that 4 cm on the model represents 3 m in reality. Given that the model is 10 cm long, the calculation shows that the real length of the bus is 7.5 m. The formula used confirms that the conversion from the model's length to the actual length is accurate. There is no need to convert cm to m in this context, as the calculations directly yield the real length. The final answer is that the real length of the bus is 7.5 m.
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QS) A model of a bus has a scale of 4cm to 3m. The model is 10cm long. What is the real length of the bus?

my workout: 4cm to 3m. 4 cm is length of model and 3m is real length.
so we have, mode = 10 cm long

so 4 cm to 10 cm: 10/4= 2.5 cm

for real length 3 X 2.5= 7.5 m.

I am not sure about my ans. Do i need to convert cm to m? Please anyone give better explanation. Thank you.
 
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Re: Scale Drwaing

$\dfrac{3 \, m}{4 \, cm} = \dfrac{x}{10 \, cm}$

$x = \dfrac{(3 \, m)(10 \, \cancel{cm})}{4 \, \cancel{cm}} = 7.5 \, m$
 

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