Tank 30

A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre?

Final 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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