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Convert the unit of length. Round the answer to one decimal place if necessary.110cm≈ ft

Question

Convert the unit of length. Round the answer to one decimal place if necessary.

110 cm ≈ ? ft

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Solution

1. Break Down the Problem

To convert centimeters (cm) to feet (ft), we need to know the conversion factor between these two units. Specifically, we can use the fact that:

  • 1 inch = 2.54 cm
  • 1 foot = 12 inches

2. Relevant Concepts

The conversion from centimeters to feet can be calculated using the formula: feet=centimeters2.54 cm/inch×12 inches/foot \text{feet} = \frac{\text{centimeters}}{2.54 \text{ cm/inch} \times 12 \text{ inches/foot}}

3. Analysis and Detail

  1. Convert centimeters to inches: inches=110 cm2.54 cm/inch43.3071 inches \text{inches} = \frac{110 \text{ cm}}{2.54 \text{ cm/inch}} \approx 43.3071 \text{ inches}
  2. Convert inches to feet: feet=43.3071 inches12 inches/foot3.6089 feet \text{feet} = \frac{43.3071 \text{ inches}}{12 \text{ inches/foot}} \approx 3.6089 \text{ feet}

4. Verify and Summarize

Rounding 3.6089\approx 3.6089 to one decimal place gives us approximately 3.63.6 feet.

Final Answer

110 cm3.6 ft 110 \text{ cm} \approx 3.6 \text{ ft}

This problem has been solved

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