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A rectangualr container whose base is a square of side 15 cm stands on a horizointal table and holds water up to 3cm from the top .When a cube is placed in the water and is completely submerged , the water rises to the top and 54 `cm^(3)` of water overflows. Calculate the volume of the cube and its surface area. |
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Answer» Correct Answer - 126800 `cm^(3)`,15880 `cm^(2)` Volume of the cube submerged = volume of water that fills 3cm height of the container +volume of water that overflows =`15xx15xx3+54=729 cm^(3)` If side of the cube submerged = x cm Its volume =`x^(3) cm^(3)` `x^(3)=729=9xx9xx9xx` x=9cm The side of the cube = 9cm And its surface area =`6xx(side^(2))=6xx9xx9=486 cm^(2)` |
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