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In Mathematics / College | 2025-07-05

Convert the unit of length. Use $1 m=100 cm$ and $1 m \approx 3.28 ft$. Round the answer to one decimal place if necessary.

$160 cm \approx \frac{\square}{\square} \cdot \frac{\square}{\square} \cdot \frac{\square}{\square} \approx \square ft$

Asked by themancamara

Answer (1)

Convert centimeters to meters: 160 c m = 160 c m × 100 c m 1 m ​ = 1.6 m .
Convert meters to feet: 1.6 m = 1.6 m × 1 m 3.28 f t ​ = 5.248 f t .
Round to one decimal place: 5.248 f t ≈ 5.2 f t .
Therefore, 160 c m ≈ 5.2 ​ f t .

Explanation

Problem Setup We are given that 1 m = 100 c m and 1 m ≈ 3.28 f t . We need to convert 160 c m to feet.

Converting cm to meters First, we convert 160 c m to meters using the conversion factor 1 m = 100 c m . This gives us: 160 c m = 160 c m × 100 c m 1 m ​ = 100 160 ​ m = 1.6 m

Converting meters to feet Next, we convert 1.6 m to feet using the conversion factor 1 m ≈ 3.28 f t . This gives us: 1.6 m = 1.6 m × 1 m 3.28 f t ​ = 1.6 × 3.28 f t = 5.248 f t

Rounding the result Finally, we round the result to one decimal place: 5.248 f t ≈ 5.2 f t .

Final Answer Therefore, 160 c m ≈ 5.2 f t .


Examples
Imagine you're building a model airplane and the plans are in centimeters, but your ruler is in feet. Converting between these units is essential to ensure your model is the correct size. This conversion also helps in understanding distances in different units, which is useful in various real-life situations, such as when traveling to different countries that use different measurement systems. Knowing how to convert between units allows you to easily understand measurements regardless of the system used.

Answered by GinnyAnswer | 2025-07-06