A coal seam is 2.5 m thick, extends 1 km in length and 100 m in width. Assuming the seam has uniform thickness, calculate the approximate volume of coal in cubic metres.
Answer
250,000 m³
The correct answer is 250,000 m³ — State the final volume as 250,000 m³.
Step-by-step solution
- Convert the length from kilometres to metres: 1 km = 1000 m.
- Use the formula for volume of a rectangular solid: Volume = thickness × length × width.
- Substitute the values: Volume = 2.5 m × 1000 m × 100 m.
- Calculate: 2.5 × 1000 = 2500; 2500 × 100 = 250,000.
- State the final volume as 250,000 m³.
Common mistake: Forgetting to convert the length from kilometres to metres before calculation.
Concept tested: Volume calculation of mineral reserve
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