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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 ×\times thickness; mass = volume ×\times density.

Given

Thickness t=16t = 16 m; area =150×150=22,500 m2= 150 \times 150 = 22{,}500\ \text{m}^2; density ρ=2870 kg/m3\rho = 2870\ \text{kg/m}^3.

Calculation

V=22,500×16=360,000 m3M=Vρ=360,000×2870=1.0332×109 kg=1,033,200 tonnes\begin{aligned} V &= 22{,}500 \times 16 = 360{,}000\ \text{m}^3 \\ M &= V\rho = 360{,}000 \times 2870 = 1.0332\times 10^{9}\ \text{kg} \\ &= 1{,}033{,}200\ \text{tonnes} \end{aligned}

(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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