A car is 4.30 m long and 1.72 m wide. If a toy model of the car is 2.6 cm long, calculate the width of the model.

To solve this problem, we need to determine the width of the toy model based on the given dimensions of the actual car and the length of the toy model. We’ll assume that the toy model is a scaled-down version of the actual car, maintaining the same proportions.

Identify the Proportion Ratio :
The actual car's length is 4.30 meters, and the model's length is 2.6 centimeters. First, we need to convert the car's length to centimeters to have consistent units.
4.30 meters = 4.30 × 100 = 430 centimeters
Now, we find the scale factor (proportion ratio) by comparing the lengths:
Scale Factor = Actual Length Model Length ​ = 430 cm 2.6 cm ​
The scale factor simplifies to:
Scale Factor = 430 2.6 ​ ≈ 0.00605

Calculate the Width of the Model :
The width of the actual car is 1.72 meters. We need to calculate the toy model's width using the same scale factor. First, convert the width to centimeters:
1.72 meters = 1.72 × 100 = 172 centimeters
Now, use the scale factor:
Model Width = Actual Width × Scale Factor = 172 cm × 0.00605
Model Width ≈ 1.0417 cm


Therefore, the width of the toy model is approximately 1.04 centimeters .
By understanding and applying proportions, we can accurately determine the dimensions of scaled models from real-world objects.

Answered by OliviaMariThompson | 2025-07-06