The volume

The volume of a solid cylinder is 260 cm³ the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid

Correct result:

h =  10.4 cm
S =  258 cm²

Solution:

$$\begin{gathered} V=260{\text{cm}}^3 \\ a=5\text{ cm } \\ {S}_1=a^2=5^2=25{\text{cm}}^2 \\ h=V\mathrm{/}{S}_1=260\mathrm{/}25={\displaystyle \frac{52}{5}}={\displaystyle \frac{52}{5}}\text{ cm}=10.4\text{ cm} \end{gathered}$$

$S=2\cdot S_1+4\cdot a\cdot h=2\cdot 25+4\cdot 5\cdot 10.4=258{\text{cm}}^2$

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