5. A glass aquarium is in the form of a rectangular parallelepiped with dimensions 50cm by 100cm, and its depth is 30cm.Find the wetted surface when the depth of the water is 10 cm.

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03-11-2022
Mathematics

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5. A glass aquarium is in the form of a rectangular parallelepiped with dimensions 50cm by 100cm, and its depth is 30cm.Find the wetted surface when the depth of the water is 10 cm.

Sagot :

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KassyB530288 KassyB530288 · Answer 1 · 2022-11-03T23:40:41-04:00

To determine the wetted surface when the depth of the water is 10 cm.

Dimesnsions;

Base area = 50cm by 100 cm , where

Length=100cm

breadth=50cm

Height = 30cm

Surface Area of the wetted rectangular glass is:

[tex]SA=2(lh+bh+bl)-lb[/tex][tex]\begin{gathered} SA=2(lb+bh+lh)-lb \\ SA=2(100(50)+30(10)+100(10))-100(50) \\ S\mathrm{}A=2(5000+300+1000)-5000 \\ S\mathrm{}A=2(6300)-5000 \\ S\mathrm{}A=12600-5000 \\ SA=7600\operatorname{cm}^2 \end{gathered}[/tex]

Hence the correct answer is 7600cm²

Sagot :

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