understanding UNIT conversion (1m vs 1m^2)

When working with units of measurement, it's essential to understand the relationships between different units. In this post we will explore the logic behind unit conversion for higher dimensions. Let's explore why 1 meter is equal to 100 centimeters, but 1 meter squared is equal to 10,000 centimeters squared.

unit conversion for meter squared

Linear Measurements

1 meter (m) = 100 centimeters (cm)

converting 1 meter into cm

This conversion is straightforward: 1 meter is equal to 100 centimeters.

Area Measurements

1 meter squared (m²) = 1m x 1m

1 meter squared (m²) = 100cm x 100cm (since 1m = 100cm)

1 meter squared (m²) = 10,000 centimeters squared (cm²)

converting 1 meter squared into cm squared

The key difference is that area measurements involve multiplying two dimensions (length x width). When converting from meters squared to centimeters squared, we need to account for the conversion of both dimensions.

Above blog post drafted by Meta, pictures by Mr Loo.

Understanding this, a student must try to extend the logic to high dimensions and to other units and measurements.