Final Answer:
To convert 5.78mm to cm using dimensional analysis, divide 5.78mm by 10 to get the equivalent length in centimeters, resulting in 0.578cm.
Step-by-step explanation:
Dimensional analysis involves converting units by utilizing their relationships. In this case, we aim to convert millimeters (mm) to centimeters (cm). Since 1 centimeter is equivalent to 10 millimeters (1cm = 10mm), we can use this conversion factor to transform millimeters into centimeters.
Starting with 5.78mm, we divide by the conversion factor (10) to convert to centimeters:
5.78mm ÷ 10 = 0.578cm.
This calculation represents the conversion of 5.78mm to its equivalent value in centimeters using dimensional analysis. It's essential to understand the relationship between units and their conversion factors to accurately convert measurements from one unit to another. In this instance, millimeters are converted to centimeters by recognizing that 1cm is equal to 10mm, allowing us to perform the conversion with ease and accuracy.