Convert the unit of length. Use [tex]$1 m=100 cm$[/tex] and [tex]$1 m \approx 3.28 ft$[/tex]. Round the answer to one decimal place if necessary.
[tex]$1.2 ft \approx \frac{\square}{\square} \cdot \frac{\square}{\square} \cdot \frac{\square}{\square} \approx \square cm$[/tex]
Answer (2)
Convert feet to meters using the conversion factor 1 m ≈ 3.28 f t .
Convert meters to centimeters using the conversion factor 1 m = 100 c m .
Combine the conversions: 1.2 f t ≈ 1.2 f t × 3.28 f t 1 m × 1 m 100 c m .
Calculate and round to one decimal place: 1.2 f t ≈ 36.6 c m .
Explanation
Understanding the Problem We are given the task of converting 1.2 feet into centimeters. We are provided with the conversion factors 1 m = 100 c m and 1 m ≈ 3.28 f t . Our goal is to find the equivalent length in centimeters, rounded to one decimal place.
Converting Feet to Meters First, we need to convert feet to meters. We know that 1 m ≈ 3.28 f t , so we can write the conversion as: 1.2 f t ≈ 1.2 f t × 3.28 f t 1 m
Converting Meters to Centimeters Next, we convert meters to centimeters. We know that 1 m = 100 c m , so we can write the conversion as: 1 m = 100 c m
Combining the Conversions Now, we combine these two conversions into a single expression: 1.2 f t ≈ 1.2 f t × 3.28 f t 1 m × 1 m 100 c m
Calculating the Value Now, we calculate the value of the expression: 1.2 f t × 3.28 f t 1 m × 1 m 100 c m ≈ 1.2 × 3.28 100 c m ≈ 3.28 120 c m ≈ 36.58536585 c m
Rounding the Answer Finally, we round the answer to one decimal place: 36.58536585 c m ≈ 36.6 c m
Examples
Imagine you're building a model airplane and the plans are in feet, but your ruler is in centimeters. Converting feet to centimeters helps you accurately measure the parts needed for your model. This conversion is also useful in construction, tailoring, and many other fields where different units of measurement are used. Understanding unit conversions allows for precise measurements and accurate results in various projects.
To convert 1.2 feet to centimeters, we first convert feet to meters by using the factor that 1 m ≈ 3.28 ft, which gives us approximately 0.365 m. Next, we convert this measurement to centimeters using the conversion 1 m = 100 cm, resulting in approximately 36.6 cm after rounding to one decimal place.
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