Volume Conversion Problem: From Hectares and Meters to Cubic Kilometers
In this video, we solve a measurement and unit conversion problem involving land excavation and volume calculation.
Problem:
An open-pit coal mine excavates 75 hectares of land each year to a depth of 26 m.
Given that 1 hectare = 10⁴ m², determine the volume of Earth removed in cubic kilometers (km³).
In this step-by-step tutorial, you will learn:
• How to convert hectares into square meters
• How to calculate volume using area × depth
• How to convert cubic meters (m³) into cubic kilometers (km³)
• How to apply dimensional analysis in real-world measurement problems
This type of question commonly appears in physics, environmental science, engineering, and general measurement topics, and it helps build strong skills in unit conversions and volume calculations.
Perfect for students studying:
• Physics and Measurement
• Dimensional Analysis
• Unit Conversions
• Volume Calculations
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