A cuboidal tank of dimensions $5$ m $\times 4$ m $\times 3$ m is filled to $\dfrac{2}{3}$ of its height. The…

A cuboidal tank of dimensions $5$ m $\times 4$ m $\times 3$ m is filled to $\dfrac{2}{3}$ of its height. The volume of water in it is:
  1. $40 \text{ m}^{3}$
  2. $60 \text{ m}^{3}$
  3. $30 \text{ m}^{3}$
  4. $20 \text{ m}^{3}$

Solution

Filled depth $= \dfrac{2}{3} \times 3 = 2$ m. Water volume $= 5 \times 4 \times 2 = 40 \text{ m}^{3}$.

Asked in: IMO

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