Tank 30

A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter?

Correct answer:

x =  19500 l

Step-by-step explanation:

$$\begin{gathered} a=2\text{m} \\ h=3\text{m} \\ {a}_2=a+1=2+1=3\text{m} \\ {h}_2=h+0.5=3+0.5=\frac{7}{2}=3.5\text{m} \\ {V}_1=a^2\cdot h=2^2\cdot 3=12{\text{m}}^3 \\ {V}_2=a_2^2\cdot h_2=3^2\cdot 3.5=\frac{63}{2}=31.5{\text{m}}^3 \\ X=V_2-V_1=31.5-12=\frac{39}{2}=19.5{\text{m}}^3 \\ x=X\to \text{l}=X\cdot 1000\text{l}=19.5\cdot 1000\text{l}=19500\text{l}=19500\text{l} \end{gathered}$$

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