The unit of volume of the prism is expressed in m 3, cm 3, in 3, or ft 3. The volume of the prism depends on the base radius of the prism and the height of the prism. The amount of space occupied by a prism is referred to as the volume of a prism. Thus, the unit of volume of the prism is given as V = (square units) × (units) = cubic units.įAQs on Volume of Prism What is the Definition of the Volume of a Prism? The unit of base area is given in square units and the height of the prism is given in units. Thus, the volume of a prism can be given as V = B × H where V is the volume, B base area, and H height of the prism. Volume of octagonal prism = Area of octagon × height of the prism Volume of hexagonal prism = Area of hexagon × height of the prism Volume of pentagonal prism = Area of pentagon × height of the prism Volume of trapezoidal prism = Area of trapezoid × height of the prism Volume of rectangular prism = Area of rectangle × height of the prism Volume of square prism = Area of square × height of the prism

Volume of triangular prism = Area of triangle × height of the prism Look at the table below to understand this concept better: Shape Thus, as the bases of different types of prisms are different so are the formulas to determine the volume of the prism. The formula for the volume of a prism is given by the product of the area of the base and height of the prism.

Volume of a trapezoid based prism