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Question

How many feet are there in 120 cm?

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Solution

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To convert centimeters to feet, we need to know the relationship between these two units of length. One foot is defined as exactly 0.3048 meters. Since there are 100 centimeters in a meter, we can express this relationship as:

1 foot = 0.3048 meters = 30.48 centimeters
1 foot = 0.3048 meters = 30.48 centimeters

Now, to convert 120 centimeters to feet, we can set up a proportion or use a direct conversion factor. We'll use the direct conversion factor method here.

First, we write down the quantity we want to convert (120 cm) and then multiply it by the conversion factor that cancels out centimeters and leaves feet:

feet=centimeters×feetcentimeters

Plugging in the numbers:

feet=120cm×1foot30.48cm

Now, we perform the multiplication and division:

feet=12030.48foot

feet3.93701foot

Since we typically express feet in a whole number with the remainder in inches, we can convert the decimal part of the feet to inches by multiplying by 12 (since there are 12 inches in a foot):

0.93701foot×12inches/foot11.24412inches

So, 120 centimeters is approximately 3 feet and 11.24 inches. However, if we want to round to the nearest whole number, we can say that 120 centimeters is approximately 4 feet, as the decimal part of the feet (0.93701) is closer to 1 than to 0.

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