Water in aquarium

The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water.

Result

S =  20.7 dm2

Solution:

a=25/10=52=2.5 dm b=30/10=3 dm V=9 l S1=a⋅ b=2.5⋅ 3=152=7.5 dm2 c=V/S1=9/7.5=65=1.2 dm S=S1+2⋅ c⋅ (a+b)=7.5+2⋅ 1.2⋅ (2.5+3)=20710=20.7=20.7 dm2a = 25/10 = \dfrac{ 5 }{ 2 } = 2.5 \ dm \ \\ b = 30/10 = 3 \ dm \ \\ V = 9 \ l \ \\ S_{ 1 } = a \cdot \ b = 2.5 \cdot \ 3 = \dfrac{ 15 }{ 2 } = 7.5 \ dm^2 \ \\ c = V/S_{ 1 } = 9/7.5 = \dfrac{ 6 }{ 5 } = 1.2 \ dm \ \\ S = S_{ 1 }+2 \cdot \ c \cdot \ (a+b) = 7.5+2 \cdot \ 1.2 \cdot \ (2.5+3) = \dfrac{ 207 }{ 10 } = 20.7 = 20.7 \ dm^2

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