To calculate the surface area of a prism, you should divide the prism first then calculate the surface area accordingly. For example, when you cover a box in wrapping paper, then you should know its surface area to get an idea of the actual quantity of paper. Surface area is the total space available outside of an object. Surface Area of a Triangular Prism Formula How to calculate the volume of a triangular prism using a simple formula The volume is equal to the product of the area of the base and the height of the prism. The properties will change for irregular or semiregular polygons.A regular triangular prism has 9 edges.A triangular prism when divided has five faces, two triangular and three rectangular faces.What are the properties of a Triangular Prism? To represent a prism, each vertex is named with a different alphabet. In brief, a triangular prism always has five faces, six vertices, and the nine edges. When edges meet together then it will make a vertex. When two faces of a Prism meet together, then it will make a line segment that is named as the edge. In this way, a triangular prism will be divided into five faces two triangular and three rectangular faces. The three rectangles will be named as lateral faces. The top and bottom of the shape are still triangular bases. When 3-dimensional shaped are formed by 2-dimensional shapes then it will be named as faces. It will be divided into two rectangles and three triangles when divided properly. We would need to use Pythagorean theorem to calculate the height of the triangle. If you will cut the Triangular Prism into parts and put it flat on the table then you will better understand the structure of the shape. Volume Ah 25 cm 2 × 9 cm 225 cm 3 Example: Find the volume of the following right prism Solution: First, we need to calculate the area of the triangular base. 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: 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. Volume of a Triangular Prism For a prism which has triangle shaped ends, we need to first find the area of the triangle using A 1/2 x base x height of triangle. 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.
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