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Volume of 20 ha-m means?

  • A.\(2 \times 10^{11}\ \text{cm}^{3}\)
  • B.\(2 \times 10^{09}\ \text{cm}^{3}\)
  • C.\(2 \times 10^{13}\ \text{cm}^{3}\)
  • D.None of these

Answer: A

20 ha-m is \(2 \times 10^{11}\) cm3.

A hectare-metre is the volume of water covering one hectare to a depth of one metre.

\[ \begin{aligned} 1 \text{ ha} &= 10^{4} \text{ m}^{2} \\ 20 \text{ ha-m} &= 20 \times 10^{4} \times 1 = 2 \times 10^{5} \text{ m}^{3} \\ 1 \text{ m}^{3} &= 10^{6} \text{ cm}^{3} \\ 2 \times 10^{5} \text{ m}^{3} &= 2 \times 10^{11} \text{ cm}^{3} \end{aligned} \]

\(2 \times 10^{9}\) and \(2 \times 10^{13}\) cm3 are each out by a factor of 100, the error made by using \(10^{4}\) or \(10^{8}\) cm3 per cubic metre.

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