The volume

The volume of a solid cylinder is 260 cm³. The cylinder is melted down into a cuboid whose base is a square of 5cm. Calculate the cuboid's height and surface area.

Correct answer:

h =  10.4 cm
S =  258 cm²

Step-by-step explanation:

$$\begin{gathered} V=260{\text{cm}}^3 \\ a=5\text{cm} \\ {S}_1=a^2=5^2=25{\text{cm}}^2 \\ h=V/S_1=260/25=10.4\text{cm} \end{gathered}$$

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

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