Convert 90 inches to centimetres if 1 in = 2.54 cm. *
A 90 centimetres
B 228.6 centimetres
C 2.54 centimetres
D 35.4 centimetres
The correct answer and explanation is:
To convert 90 inches to centimeters, you need to use the given conversion factor: 1 inch = 2.54 centimeters. The formula for converting inches to centimeters is: Centimeters=Inches×2.54\text{Centimeters} = \text{Inches} \times 2.54
Now, substitute 90 inches into the formula: Centimeters=90×2.54=228.6 cm\text{Centimeters} = 90 \times 2.54 = 228.6 \text{ cm}
Therefore, the correct answer is B) 228.6 centimeters.
This conversion is based on the fact that 1 inch is equal to exactly 2.54 centimeters, a standard measurement used in many countries that follow the metric system. In countries like the United States, the inch is a common unit of measurement for length, while the centimeter is primarily used in countries that use the metric system.
By multiplying the number of inches by the conversion factor, you can easily switch between the two units. This method is helpful in various fields, such as engineering, construction, and science, where measurements in both metric and imperial systems are needed.
This formula and the conversion factor of 2.54 cm per inch are universally accepted. To perform conversions between other units of length, similar principles are applied by using the appropriate conversion factors for each pair of units. Always ensure you have the correct factor and multiply accordingly to get the result in the desired unit.