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प्रश्न
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that
`V^2` = `xyz`
उत्तर
Let a, b, d be the length, breath and height of cuboid then,
`x=ab`
`y=bd`
`z=da, and`
`v=abd` `[v=lxxbxxh]`
`⇒xyz=abxxbcxxca= (abc^2)`
`and v= abc`
`v^2=(abc)^2`
`v^2=xyz`
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