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Question
If l is the length of a diagonal of a cube of volume V, then
Options
3V = l3
`sqrt(3V )= 1^3`
`3 sqrt(3V )= 21^3`
`3sqrt(3V )= 1^3`
Solution
We have,
l→Diagonal of the cube
V → Volume of the cube
a → Side of the cube
We know that,
`l = a sqrt(3)`
`l^3 = 3 sqrt(3a)^3`
`=3sqrt(3V) {"Since" , V = a^3}`
`3sqrt(3) V = l^3`
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