If same charge q is placed inside a sphere and cube having radius 1...

According to Gauss's law, electric flux passing through a closed surface is equal to $\frac{1}{\varepsilon_0}$ times the charge (q) enclosed by the surface i.e. $\phi=\frac{\mathrm{q}}{\varepsilon_0}$ Since, cube and sphere, both enclose same charge, therefore flux passing through cube and sphere is same. i.e. $\phi_{\text{sphere }}=\phi_{\text{cube }} \therefore \quad \phi_{\text{sphere }}: \phi_{\text{cube }}=1: 1$