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To fill a rectangular tank of area 700 m2, 140 m3 of water is required. What will be the height of the water level in the tank?

  • A.10 cm
  • B.20 cm
  • C.30 cm
  • D.40 cm

Answer: B

The height of the water is 20 cm.

Volume of a cuboid = base area × height, so

\[ \begin{aligned} h &= \frac{140\ \text{m}^{3}}{700\ \text{m}^{2}} \\ &= 0.2\ \text{m} = 20\ \text{cm} \end{aligned} \]

The trap is the unit: the division gives metres, and 0.2 m must be converted to centimetres by multiplying by 100. The other values do not satisfy volume = area × height.

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