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. After that, we can find the area and the volume of the trapezoidal 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. If the units of given dimensions of a trapezoidal prism are different then, first we need to change the units of the dimensions of any two dimensions as the unit of the third dimension. If the Units of Dimensions of a Trapezoidal Prism Are Different, Then How Can You Find the Volume of the Trapezoidal Prism? When the height of a prism is given, the height can be multiplied by the area to find the volume of the trapezoidal prism. The height of a prism is the total distance between the two congruent faces of the prism. How Can You Find the Volume of a Trapezoidal Prism when the Height is given? The volume of a trapezoidal prism can be calculated by multiplying the area of its trapezoidal faces by its total length. How Can You Calculate the Volume of a Trapezoidal Prism? The formula for the volume of the trapezoidal prism is the area of base × height of the prism. The volume of a trapezoidal prism is the product of the area of the base to the height of the prism cubic units. What Is the Formula To Find the Volume of a Trapezoidal Prism? The formula for the volume of a trapezoidal prism is the area of base × height of the prism cubic units. The volume of a trapezoidal prism is the capacity of the prism. What Do You Mean by the Volume of Trapezoidal Prism? Thus, a trapezoidal prism has volume as it is a three-dimensional shape and is measured in cubic units. The volume is explained as the space inside an object. A three-dimensional solid has space inside It. The area of the base ( area of trapezoid) = \(\dfrac × L\)įAQs on Volume of Trapezoidal Prism Does a Trapezoidal Prism Have Volume?Ī prism is a three-dimensional solid. We know that the base of a trapezoidal prism is a trapezium/ trapezoid. Consider a trapezoidal prism in which the base has its two parallel sides to be \(b_1\) and \(b_2\), and height to be 'h', and the length of the prism is L. We will use this formula to calculate the volume of a trapezoidal prism as well. i.e., volume of a prism = base area × height of the prism. The volume of a prism can be obtained by multiplying its base area by total height of the prism. We will see the formulas to calculate the volume trapezoidal prism. It is measured in cubic units such as mm 3, cm 3, in 3, etc. The volume of a trapezoidal prism is the capacity of the prism (or) the volume of a trapezoidal prism is the space inside it.
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