Cuboid - Vab

Find the surface of the cuboid when its volume is 52.8 cubic centimeters, and the length of its two edges is 2 centimeters and 6 centimeters.

Correct answer:

S =  94.4 cm²

Step-by-step explanation:

$$\begin{gathered} V=52.8{\text{cm}}^3 \\ a=2\text{ cm } \\ b=6\text{ cm } \\ {S}_1=a\cdot b=2\cdot 6=12{\text{cm}}^2 \\ c=V\mathrm{/}{S}_1=52.8\mathrm{/}12={\displaystyle \frac{22}{5}}=4.4\text{ cm } \\ S=2\cdot S_1+2\cdot c\cdot (a+b)=2\cdot 12+2\cdot 4.4\cdot (2+6)=94.4{\text{cm}}^2 \end{gathered}$$

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