If the surface area, volume, height, base-area and perimeter of base of a right prism be S sq. unit, V cubic unit, h unit, A sq. unit and P units respectively then :

V = Area of base × height

⇒ V = Ah .... (i)

S = Perimeter of base × height

⇒ S = P × h .... (ii)

On dividing equation (i) by (ii), we have

$\frac{\mathrm{V}}{\mathrm{S}}=\frac{\mathrm{A}}{\mathrm{P}}$

$\Rightarrow \mathrm{A}=\frac{\mathrm{VP}}{\mathrm{S}}$