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Question Number 29520 by bbbbbb last updated on 09/Feb/18

to make an open fish tank a glass sheet of   2mm gauge is used .the outer length  ,breadth and height are 60.4 , 40.4,   40.2 respectively .how much maximum  volume of water will be contained in it ?

$$\mathrm{to}\:\mathrm{make}\:\mathrm{an}\:\mathrm{open}\:\mathrm{fish}\:\mathrm{tank}\:\mathrm{a}\:\mathrm{glass}\:\mathrm{sheet}\:\mathrm{of}\: \\ $$$$\mathrm{2mm}\:\mathrm{gauge}\:\mathrm{is}\:\mathrm{used}\:.\mathrm{the}\:\mathrm{outer}\:\mathrm{length} \\ $$$$,\mathrm{breadth}\:\mathrm{and}\:\mathrm{height}\:\mathrm{are}\:\mathrm{60}.\mathrm{4}\:,\:\mathrm{40}.\mathrm{4},\: \\ $$$$\mathrm{40}.\mathrm{2}\:\mathrm{respectively}\:.\mathrm{how}\:\mathrm{much}\:\mathrm{maximum} \\ $$$$\mathrm{volume}\:\mathrm{of}\:\mathrm{water}\:\mathrm{will}\:\mathrm{be}\:\mathrm{contained}\:\mathrm{in}\:\mathrm{it}\:? \\ $$$$ \\ $$

Answered by Rasheed.Sindhi last updated on 09/Feb/18

Net length =60.4m−4mm=(60.4−0.0004)m  Net breadth=40.4−4mm=(40.4−0.0004)m  Net height=40.2−2mm=(40.2−0.0002)m  V=60.3996×40.3996×40.1996     ≈98091.835 m^3

$$\mathrm{Net}\:\mathrm{length}\:=\mathrm{60}.\mathrm{4m}−\mathrm{4mm}=\left(\mathrm{60}.\mathrm{4}−\mathrm{0}.\mathrm{0004}\right)\mathrm{m} \\ $$$$\mathrm{Net}\:\mathrm{breadth}=\mathrm{40}.\mathrm{4}−\mathrm{4mm}=\left(\mathrm{40}.\mathrm{4}−\mathrm{0}.\mathrm{0004}\right)\mathrm{m} \\ $$$$\mathrm{Net}\:\mathrm{height}=\mathrm{40}.\mathrm{2}−\mathrm{2mm}=\left(\mathrm{40}.\mathrm{2}−\mathrm{0}.\mathrm{0002}\right)\mathrm{m} \\ $$$$\mathrm{V}=\mathrm{60}.\mathrm{3996}×\mathrm{40}.\mathrm{3996}×\mathrm{40}.\mathrm{1996} \\ $$$$\:\:\:\approx\mathrm{98091}.\mathrm{835}\:\mathrm{m}^{\mathrm{3}} \\ $$$$ \\ $$

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