Presentation on theme: "Volume and Surface Area of a Triangular Prism. A triangular prism is a three- sided polyhedron with two parallel triangular bases and three rectangular."— Presentation transcript:
A triangular prism is a three- sided polyhedron with two parallel triangular bases and three rectangular faces. It should not be confused with a pyramid.
Step 1: Identify the base and height of one of the triangular bases. The triangular bases of the triangular prism will have the same dimensions, so it doesn't matter which triangle you use. Volume of a Triangular Prism
Find the base and the height of the triangle by locating the length of one of the sides of the triangle as well as the length of a line perpendicular to that first line.
Step 2: Multiply them. This is the first step to finding the area of the base, which is, in the case of the triangular prism, a triangle. So: 3 cm x 4 cm = 12 cm 2. Don't forget to state your answer in square units since you're working with area.
Step 3: Divide the result by two. To finish finding the area of the triangular base, simply divide 12 cm 2 by 2. So, 12 cm 2 /2 = 6 cm 2
Step 4: Multiply this number by the height of the shape. Let's say the height of the triangular prism, or the length of one of its sides, is 10 cm. So, just multiply 6 cm 2 x 10 cm to find the volume of the triangular prism. 6 cm 2 x 10 cm = 60 cm 3. Don't forget to state your answer in cubic units since you're working with volume.
You have just followed the simple formula for finding the volume of a triangular prism: V = (Area of the triangular base) X length
Now you try! Get a white board, marker and eraser. It’s time for Showdown!