- 2076 Bhadra · 2.5 marks
Sand deposit reserve in tons
Short answer
For a horizontal sand deposit, reserve volume = area × thickness = 22,500 m² × 16 m = 360,000 m³. Mass = volume × density 2870 kg/m³ = 1.033×10⁹ kg (1,033,200 tonnes).
A 16 m thick sand deposit extends horizontally within the terrace which is covered by 150 m × 150 m with density 2870 kg/m³. Estimate the reserve of sand deposit in tons.
Principle: for a horizontal deposit the thickness is the true thickness, so reserve (volume) = area thickness; mass = volume density.
Given
Thickness m; area ; density .
Calculation
(1 tonne = 1000 kg.)
Answer: reserve of sand = 3.6 × 10⁵ m³, i.e. about 1.03 × 10⁶ tonnes (1,033,200 t).
✓ Answer checked by Claude Opus 5.5 (high effort)
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