A rectangular container, whose base is a square of side 5 cm, sta… - Vidyadip

Question

A rectangular container, whose base is a square of side $5\ cm$, stands on a horizontal table, and holds water up to $1\ cm$ from the top.
When a solid cube is placed in the water it is completely submerged, the water rises to the top and $2$ cubic cm of water overflows.
Calculate the volume of the cube and also the length of its edge.

✓

Answer

Let the length of each edge of the cube be ' $x$ ' $cm$ Then,
volume of the cube $=$ Volume of water inside the tank + Volume of water that overflowed
$x^3=(5 \times 5 \times 1)+2 x^3=27 x=3 \mathrm{~cm}$
Hence, volume of the cube $=27 \mathrm{~cm}^3$ And edge of the cube $=3 \mathrm{~cm}$

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