Milk cartons

How much paper do we need for 12 tetra packs with dimensions 6 cm, 11 cm, and 20 cm? Will 1 liter of milk fit in the box?

Result

S =  9744 cm²
x=

Yes

No

S =

Step-by-step explanation:

$$\begin{gathered} n=12 \\ a=6\text{ cm } \\ b=11\text{ cm } \\ c=20\text{ cm } \\ {S}_1=2\cdot (a\cdot b+b\cdot c+c\cdot a)=2\cdot (6\cdot 11+11\cdot 20+20\cdot 6)=812{\text{cm}}^2 \\ S=n\cdot S_1=12\cdot 812=9744{\text{cm}}^2 \end{gathered}$$

$$\begin{gathered} V_1=1\text{ l}\to {\text{cm}}^3=1\cdot 1000{\text{cm}}^3=1000{\text{cm}}^3 \\ {V}_2=a\cdot b\cdot c=6\cdot 11\cdot 20=1320{\text{cm}}^3 \\ {V}_1<V_2 \\ x=1 \end{gathered}$$

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