# Glass aquarium

How many m2 of glass are needed to produce aquarium with bottom dimensions of 70 cm x 40 cm and 50 cm high?

Result

x =  1.38 m2

#### Solution:

$a=70 \ cm=70 / 100 \ m=0.7 \ m \ \\ b=40 \ cm=40 / 100 \ m=0.4 \ m \ \\ c=50 \ cm=50 / 100 \ m=0.5 \ m \ \\ \ \\ S_{1}=a \cdot \ b=0.7 \cdot \ 0.4=\dfrac{ 7 }{ 25 }=0.28 \ \text{m}^2 \ \\ \ \\ o=2 \cdot \ a+2 \cdot \ b=2 \cdot \ 0.7+2 \cdot \ 0.4=\dfrac{ 11 }{ 5 }=2.2 \ \text{m} \ \\ \ \\ S_{2}=c \cdot \ o=0.5 \cdot \ 2.2=\dfrac{ 11 }{ 10 }=1.1 \ \text{m}^2 \ \\ \ \\ x=S_{1}+S_{2}=0.28+1.1=\dfrac{ 69 }{ 50 }=1.38 \ \text{m}^2$

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