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The-external-length-width-and-height-of-an-open-rectangular-container-are-41cm-21cm-and-15-5cm-respectively-The-thickness-of-the-material-making-the-container-is-5mm-If-the-container-has-8litres-of-w




Question Number 66985 by Mr Jor last updated on 21/Aug/19
The external length,width and height  of an open rectangular container are  41cm,21cm and 15.5cm respectively.  The thickness of the material making  the container is 5mm.If the container  has 8litres of water,calculate the  internal height above the water level.                              Ans:5cm
$$\mathrm{The}\:\mathrm{external}\:\mathrm{length},\mathrm{width}\:\mathrm{and}\:\mathrm{height} \\ $$$$\mathrm{of}\:\mathrm{an}\:\mathrm{open}\:\mathrm{rectangular}\:\mathrm{container}\:\mathrm{are} \\ $$$$\mathrm{41cm},\mathrm{21cm}\:\mathrm{and}\:\mathrm{15}.\mathrm{5cm}\:\mathrm{respectively}. \\ $$$$\mathrm{The}\:\mathrm{thickness}\:\mathrm{of}\:\mathrm{the}\:\mathrm{material}\:\mathrm{making} \\ $$$$\mathrm{the}\:\mathrm{container}\:\mathrm{is}\:\mathrm{5mm}.\mathrm{If}\:\mathrm{the}\:\mathrm{container} \\ $$$$\mathrm{has}\:\mathrm{8litres}\:\mathrm{of}\:\mathrm{water},\mathrm{calculate}\:\mathrm{the} \\ $$$$\mathrm{internal}\:\mathrm{height}\:\mathrm{above}\:\mathrm{the}\:\mathrm{water}\:\mathrm{level}. \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{Ans}:\mathrm{5}{cm} \\ $$
Answered by mr W last updated on 22/Aug/19
internal length=external−2×thickness  L_i =41−2×0.5=40cm  W_i =21−2×0.5=20cm  internal height=external−thickness  H_i =15.5−0.5=15cm  depth of water=((8000)/(40×20))=10 cm  height above water level=15−10=5cm
$${internal}\:{length}={external}−\mathrm{2}×{thickness} \\ $$$${L}_{{i}} =\mathrm{41}−\mathrm{2}×\mathrm{0}.\mathrm{5}=\mathrm{40}{cm} \\ $$$${W}_{{i}} =\mathrm{21}−\mathrm{2}×\mathrm{0}.\mathrm{5}=\mathrm{20}{cm} \\ $$$${internal}\:{height}={external}−{thickness} \\ $$$${H}_{{i}} =\mathrm{15}.\mathrm{5}−\mathrm{0}.\mathrm{5}=\mathrm{15}{cm} \\ $$$${depth}\:{of}\:{water}=\frac{\mathrm{8000}}{\mathrm{40}×\mathrm{20}}=\mathrm{10}\:{cm} \\ $$$${height}\:{above}\:{water}\:{level}=\mathrm{15}−\mathrm{10}=\mathrm{5}{cm} \\ $$

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