Aquarium II

Calculate how much glass is needed to build a rectangular aquarium with a base of 65 cm × 52 cm and a height of 74 cm, assuming 2% waste. The aquarium has no top.

Final Answer:

x =  2.11 m²

Step-by-step explanation:

$$\begin{gathered} a=65\text{cm}\to \text{m}=65:100\text{m}=0.65\text{m} \\ b=52\text{cm}\to \text{m}=52:100\text{m}=0.52\text{m} \\ c=74\text{cm}\to \text{m}=74:100\text{m}=0.74\text{m} \\ r=100\%+2\%=1+\frac{2}{100}=1.02 \\ {S}_1=a\cdot b+2\cdot (a+b)\cdot c=0.65\cdot 0.52+2\cdot (0.65+0.52)\cdot 0.74=2.0696{\text{m}}^2 \\ x=S=r\cdot S_1=1.02\cdot 2.0696=2.11{\text{m}}^2 \end{gathered}$$

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