Therefore, the volume of the prism is 21 cubic inches. Thus, the Volume of the prism, V = B × H ⇒ V = 3 × 7 = 21 in 3 Given that: B = 3 square inches, H = 7 inches Solution: As we know, the volume of the prism is V = B × H. Step 3: The value of the volume of the prism is once obtained then add the unit of volume of prism in the end (in terms of cubic units).Įxample: Find the volume of a prism whose base area is 3 square inches and height is 7 inches.Step 2: Determine the volume of the prism using the formula V = B × H where V, B, and H are the volume, base area, and height of the prism.Step 1: Write the given dimensions of the prism.The steps to determine the volume of the prism are: 00:10:38 Find the surface area and volume for each prism (Examples 1-6) 00:17:16 Use the volume addition postulate to find the volume of the polyhedron (Examples 7-8) 00:17:16 Determine the number of gallons of water in a swimming pool given its volume (Example 9) 00:17:16 Find the surface area of a right rectangular prism.
Thus, the unit of volume of the prism is given as V = (square units) × (units) = cubic units. 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. 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.
The unit of volume of a prism is given as cubic meters, cubic centimeters, cubic inches or cubic feet, etc. Thus, as each prism is a three-dimensional shape, the volume of every prism also lies in a three-dimensional plane. In the case of prisms, every prism has a different base, triangular prism (triangular base), square prism (square base), rectangular prism (rectangular base), pentagonal prism (pentagonal base), hexagonal prism (hexagonal base), or an octagonal prism (octagonal base). It is a polyhedron whose naming convention is influenced by the different shapes of the bases. A prism is a solid 3-D shape that has two same faces and other faces that resemble a parallelogram. The volume of a prism is defined as the amount of space a prism occupies.