Converting Mixed Units to Centimeters
Sometimes, we come across measurements in mixed units, such as inches, feet, and yards, but we need to convert them to a more universal unit like centimeters. In this article, we will explore how to convert a mixed unit measurement to centimeters.
The Measurement: 21 7/15 × 15 8/9 × 9 1/8 inch
Let's consider the measurement: 21 7/15 × 15 8/9 × 9 1/8 inch. This measurement is a product of three mixed unit values. To convert it to centimeters, we need to follow a step-by-step process.
Step 1: Convert Mixed Units to Decimal Inches
First, let's convert each mixed unit value to a decimal inch value.
- 21 7/15 = 21.4666... inches (approximately)
- 15 8/9 = 15.8888... inches (approximately)
- 9 1/8 = 9.125 inches (approximately)
Step 2: Multiply the Decimal Inch Values
Now, let's multiply the decimal inch values:
- 21.4666... × 15.8888... × 9.125 = 3053.4154... square inches (approximately)
Step 3: Convert Square Inches to Square Centimeters
Since there are 6.4516 square centimeters in a square inch, we can convert the result to square centimeters:
- 3053.4154... square inches × 6.4516 square centimeters/square inch = 19,711.1111... square centimeters (approximately)
Result
Therefore, the measurement 21 7/15 × 15 8/9 × 9 1/8 inch is approximately equal to 19,711.1111... square centimeters.
Remember to follow the correct order of operations and unit conversions when working with mixed unit measurements.
