there are 2.54 centimeters in 1 inch. how many centimeters are there in 1 foot in 1 yard explain a reason
Hmm i cant understand this someone answer this please
1 ft = 12 in
1 ft = 12 ∙ 2.54 cm = 30.48 cm
1 yd = 3 ft = 3 ∙12 in = 36 in
1 yd = 36 ∙ 2.54 cm = 91.44 cm
OR
If
1 ft = 30.48 cm
then
1 yd = 3 ft
1 yd = 3 ∙ 30.48 cm = 91.44 cm
To find out how many centimeters are in 1 foot and 1 yard, we need to know the conversion factor between feet and centimeters.
The conversion factor for feet to centimeters is 1 foot = 30.48 centimeters.
To calculate how many centimeters are in 1 foot, we can multiply the given value by the conversion factor.
1 foot * 30.48 centimeters/foot = 30.48 centimeters
Therefore, there are 30.48 centimeters in 1 foot.
Now, let's move on to the conversion from yards to centimeters.
The conversion factor for yards to centimeters is 1 yard = 91.44 centimeters.
To calculate how many centimeters are in 1 yard, we can multiply the given value by the conversion factor.
1 yard * 91.44 centimeters/yard = 91.44 centimeters
Therefore, there are 91.44 centimeters in 1 yard.
The reason for these conversions is based on the definition of the units themselves.
An inch is defined as 2.54 centimeters, so multiplying the number of inches by this conversion factor gives us the equivalent value in centimeters.
A foot is defined as 12 inches, so multiplying the number of feet by the conversion factor from inches to centimeters (2.54 cm/inch) gives us the equivalent value in centimeters.
Similarly, a yard is defined as 3 feet, so multiplying the number of yards by the conversion factor from feet to centimeters (30.48 cm/foot) gives us the equivalent value in centimeters.