Calculate 16523

We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of ​​a cuboid with the same base but 2 cm more height. You write the result in dm².

Correct answer:

S =  439.6 dm²

Step-by-step explanation:

$$\begin{gathered} h=12\text{dm} \\ V=588{\text{dm}}^3 \\ {h}_2=h+2/10=12+2/10=\frac{61}{5}=12.2\text{dm} \\ S=V/h=588/12=\frac{2198}{5}=439.6\text{dm} \\ a=\sqrt{S}=\sqrt{439.6}=7\text{dm} \\ S=2\cdot S+4\cdot a\cdot h_2=2\cdot 439.6+4\cdot 7\cdot 12.2=439.6{\text{dm}}^2 \end{gathered}$$

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