Cuboid surface

Determine surface area of cuboid if its volume is 52.8 cm cubic and length of the two edges are 2 cm and 6 cm.

Correct answer:

S =  94.4 cm²

Step-by-step explanation:

$$\begin{gathered} V=52.8 \\ a=2 \\ b=6 \\ {S}_1=a\cdot b=2\cdot 6=12 \\ c=V\mathrm{/}{S}_1=52.8\mathrm{/}12={\displaystyle \frac{22}{5}}=4.4 \\ S=2\cdot S_1+2\cdot c\cdot (a+b)=2\cdot 12+2\cdot 4.4\cdot (2+6)={\displaystyle \frac{472}{5}}={\displaystyle \frac{472}{5}}{\text{cm}}^2=94.4{\text{cm}}^2 \end{gathered}$$

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