Convert the unit of length. Use 1 m = 100 cm and [tex]$1 m \approx 3.28 ft$[/tex]. Round the answer to one decimal place if necessary.
[tex]$160 cm = ? ft$[/tex]
Answer (2)
Convert centimeters to meters: 100 160 = 1.6 m.
Convert meters to feet: 1.6 × 3.28 = 5.248 ft.
Round to one decimal place: 5.248 ≈ 5.2 ft.
Therefore, 160 cm is approximately 5.2 ft.
Explanation
Understanding the Problem We are asked to convert 160 cm to feet, using the conversion factors 1 m = 100 cm and 1 m ≈ 3.28 ft. We need to round the final answer to one decimal place.
Converting cm to m First, we convert centimeters to meters. Since 1 m = 100 cm, we divide 160 cm by 100 to get the equivalent length in meters: meters = 100 cm/m 160 cm = 1.6 m
Converting m to ft Next, we convert meters to feet. Since 1 m ≈ 3.28 ft, we multiply the length in meters by 3.28 to get the equivalent length in feet: feet = 1.6 m × 3.28 ft/m = 5.248 ft
Rounding to One Decimal Place Finally, we round the result to one decimal place: 5.248 ft ≈ 5.2 ft
Final Answer Therefore, 160 cm is approximately equal to 5.2 ft.
Examples
Imagine you're building a model airplane and the instructions are in centimeters, but your ruler is in feet. Converting the measurements helps you accurately construct the model. Unit conversions are essential in various fields, including construction, engineering, and everyday tasks like measuring furniture or room dimensions. Understanding how to convert between different units of length ensures accurate measurements and facilitates effective communication and collaboration across different systems of measurement.
To convert 160 cm to feet, first, convert centimeters to meters (160 cm = 1.6 m), then convert meters to feet (1.6 m × 3.28 ft/m = 5.248 ft), and round to one decimal place giving approximately 5.2 ft. Thus, 160 cm is equal to 5.2 feet.
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