Glass aquarium

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

Correct answer:

x =  1.38 m²

Step-by-step explanation:

$$\begin{gathered} a=70\text{ cm}\to \text{ m}=70\mathrm{/}100\text{ m}=0.7\text{ m } \\ b=40\text{ cm}\to \text{ m}=40\mathrm{/}100\text{ m}=0.4\text{ m } \\ c=50\text{ cm}\to \text{ m}=50\mathrm{/}100\text{ m}=0.5\text{ m } \\ {S}_1=a\cdot b=0.7\cdot 0.4={\displaystyle \frac{7}{25}}=0.28{\text{m}}^2 \\ o=2\cdot a+2\cdot b=2\cdot 0.7+2\cdot 0.4={\displaystyle \frac{11}{5}}=2.2\text{ m } \\ {S}_2=c\cdot o=0.5\cdot 2.2={\displaystyle \frac{11}{10}}=1.1{\text{m}}^2 \\ x=S_1+S_2=0.28+1.1=1.38{\text{m}}^2 \end{gathered}$$

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