Question
The world’s largest cut diamond is the first star of Africa (mounted in the British Royal Sculpture and kept in the tower of London). Its volume is 1.84 cubic inch. What is its volume in cubic metre?
Answer
The volume of the world’s largest cut diamond, the First Star of Africa, is approximately 0.00003011764 cubic meters.
Explanation
We are tasked with converting the volume of the world’s largest cut diamond from cubic inches to cubic meters.
Step 1: Understanding the Conversion
In order to convert from cubic inches to cubic meters, we need to establish the appropriate conversion factor. The conversion factor is based on the relationship between these two units. One cubic meter is equivalent to 1,000,000 (one million) cubic centimeters, and one cubic centimeter is equivalent to 16.3871 cubic inches. Therefore, the conversion factor is as follows:
1 cubic meter (m³) = 1,000,000 cubic centimeters (cm³)
1 cm³ = 16.3871 cubic inches (in³)
Step 2: Converting from Cubic Inches to Cubic Centimeters
To perform the conversion, we will first convert the volume from cubic inches to cubic centimeters. We can use the fact that 1 cubic centimeter is equivalent to 16.3871 cubic inches.
Volume in cubic centimeters (cm³) = Volume in cubic inches (in³) × Conversion Factor
Volume in cm³ = 1.84 in³ × 16.3871 cm³/in³
Step 3: Converting from Cubic Centimeters to Cubic Meters
Now that we have the volume in cubic centimeters, we can convert it to cubic meters. We do this by noting that 1 cubic meter is equivalent to 1,000,000 cubic centimeters.
Volume in cubic meters (m³) = Volume in cubic centimeters (cm³) / Conversion Factor
Volume in m³ = (1.84 in³ × 16.3871 cm³/in³) / 1,000,000 cm³/m³
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Step 4: Performing the Calculation
We will now calculate the volume in cubic meters.
Volume in m³ = (1.84 in³ × 16.3871 cm³/in³) / 1,000,000 cm³/m³
This implies that the Volume in m³ = (30.11764 cm³) / 1,000,000 cm³/m³
Therefore, Volume in m³ ≈ 0.00003011764 m³
So, the volume is approximately 0.00003011764 cubic meters.
Conclusion:
The First Star of Africa, the world’s largest cut diamond, is a magnificent and valuable gem that is housed in the British Royal Sculpture and kept in the Tower of London. Its volume is approximately 1.84 cubic inches.
In scientific measurements, it’s more practical to work with the International System of Units (SI units), which includes cubic meters for volume. To make this measurement more relatable in the context of standard units, we converted the volume of the diamond from cubic inches to cubic meters.
The volume in cubic meters, approximately 0.00003011764 m³, is a significantly smaller number, emphasizing the extraordinary precision and delicacy required to work with such a precious gem. This conversion helps us grasp the volume in a more universally understood unit and demonstrates the remarkable craftsmanship that went into creating the First Star of Africa. It is not just a gem of great beauty but also a marvel of human artistry and expertise.