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`

Answer 1

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`