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Three gold cubes each of 3cm length are ...

Three gold cubes each of 3cm length are melted and gold cuboid is formed from it.The area of the base of the cuboid is `27cm^2`. What is the height of the cuboid?

Text Solution

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`a=3cm`
volume of cube`a^3=3^3=27cm^3 `
volume of 3 cubes `=3xx 27cm^3`
`LxxB=27cm^3`
`volume of cuboid =(LxxBxxH)`
cuboid=cube``
`3xx27=27xxH`
`H=3cm`
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