When a 300 g mass is placed over a wooden cube, the cube just floats in water. When the mass is removed, the cube comes out by 4 cm from the water. Determine the length of each side of the cube.
Text Solution
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Let the mass of the cube be m g , the length of each side of the cube be l cm. `therefore` According to the problem for the first case, `(m+300)g=l^(3)xx1xxg" "...(1)` For the second case, `mg=l^(2)(l-4)xx1xxg" "...(2)` `therefore` From (1) and (2), we get `300=l^(3)-l^(3)+4l^(2)` or, `l^(2)=75` or, `l=5sqrt3` `therefore` Each side os the cube is `5sqrt3` cm in length.
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