Discussion
A rectangular tank is 21 cm long, 13 cm wide and 18 cm high, and contains water up to a height of 11 cm. The total area of the tank's surface that is in contact with the water is
Answer: D
Water touches the base and the lower part of all four walls, but not the tank's top or the walls above the 11 cm line.
\[ \text{base} = 21 \times 13 = 273 \text{ cm}^{2} \]
\[ \text{two long walls} = 2 \times (21 \times 11) = 462 \text{ cm}^{2} \]
\[ \text{two short walls} = 2 \times (13 \times 11) = 286 \text{ cm}^{2} \]
\[ \text{total} = 273 + 462 + 286 = 1021 \text{ cm}^{2} \]
The tank's own height of 18 cm never enters: only the wetted 11 cm counts, and there is no top surface in contact with the water.
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