Milk cartons

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

Correct result:

S =  9744 cm2
x =  1

Solution:

n=12 a=6 cm b=11 cm c=20 cm  S1=2⋅ (a⋅ b+b⋅ c+c⋅ a)=2⋅ (6⋅ 11+11⋅ 20+20⋅ 6)=812 cm2  S=n⋅ S1=12⋅ 812=9744 cm2
V1=1 l→ cm3=1⋅ 1000  cm3=1000 cm3 V2=a⋅ b⋅ c=6⋅ 11⋅ 20=1320 cm3  V1<V2 x=1

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