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.
$110 cm \approx \frac{\square}{\square} \cdot \frac{\square}{\square} \cdot \frac{\square}{\square} \approx \square ft$
Answer (1)
Convert c m to m : 110 c m = 100 110 m = 1.1 m .
Convert m to f t : 1.1 m = 1.1 e q 3.28 f t = 3.608 f t .
Round to one decimal place: 3.608 f t ≈ 3.6 f t .
Final answer: 3.6 f t .
Explanation
Problem Analysis We are given the length 110 c m and we need to convert it to feet ( f t ). We are also given the conversion factors 1 m = 100 c m and 1 m e q 3.28 f t .
Converting cm to m First, we convert c m to m using the conversion factor 1 m = 100 c m . To do this, we divide the length in c m by 100 to get the length in m . So, we have 110 c m = 100 110 m = 1.1 m
Converting m to ft Next, we convert m to f t using the conversion factor 1 m e q 3.28 f t . To do this, we multiply the length in m by 3.28 to get the length in f t . So, we have 1.1 m = 1.1 e q 3.28 f t = 3.608 f t
Rounding to One Decimal Place Finally, we round the result to one decimal place. Since the second decimal place is 0, we don't need to round up. So, we have 3.608 f t ≈ 3.6 f t
Final Answer Therefore, 110 c m ≈ 3.6 f t .
Examples
Imagine you're designing a custom-built bookshelf and need to know the height in feet, but you only have the measurement in centimeters. Converting centimeters to feet helps ensure the bookshelf fits perfectly in your room. This conversion is also useful in construction, interior design, and many other practical applications where different units of measurement are used.
