finding surface area of a triangular prism

FINDING SURFACE AREA OF A TRIANGULAR PRISM HOW TO

If we have measurements for our Triangular Prism, then we can calculate the TSA using the shapes on the 2D Net. The Toblerone chocolate bar packaging is a classic example of a Triangular Prism. This next video goes through a Practical problem about painting a wooden chest.

FINDING SURFACE AREA OF A TRIANGULAR PRISM HOW TO

The following Video shows how to calculate the TSA of a Rectangular Prism using both Nets and the Formula. This saves us having to draw out the flat 2D Net of the shape. If we have the Length, Width, and Height values for a Rectangular Prism, we can calculate its TSA by using the TSA Formula. The following Video shows how to calculate the TSA of a rectangular Prism without using Nets. TSA of Rectangular Prisms Using the TSA Formula The following Video shows how to derive the above TSA formula for a Rectangular Prism. If we assign Algebra letter values for Length, Width, and Height on a Rectangular Prism, we can work out the following general Formula for the TSA of any Rectangular Prism.

The following video shows how to calculate the Volume of a Rectangular Prism by unfolding it into its Net. To determine the TSA, we need to find the area of all six rectangles, and then add up these areas to find the total area.

Image Copyright 2013 by Passy’s World of Mathematicsįrom the above Net, we can see that a Rectangular Prism is made of 3 pairs of Rectangles, which creates a Net containing a total of six rectangles. One method of calculating the TSA (Total Surface Area) is to “unfold” a 3D shape, into its flat “2D” net which the shape is made from. In this lesson we show how to calculate the Total Surface Area of Rectangular and Triangular Prisms, including Cylinders, as well as the TSA of Pyramids. S 1 and S 2 are the three sides of the base triangleĪlso Read: Angle Sum Property of QuadrilateralĪ right triangular prism with equilateral bases and square sides is called a uniform triangular prism.Total Surface Area (“TSA”) is important for Painters, so that they know how much paint will be required for a job.Įngineers, Designers, Scientists, Builders, Concreters, Carpet Layers, and other occupations also use Total Surface Areas as part of their work. Thus, adding all the areas, the total surface area of a right triangular prism is given by, Lateral surface area is the product of the length of the prism and the perimeter of the base triangle = (S 1 + S 2 + h) × l. Lateral Surface Area = (S 1 + S 2 + S 3 ) × LĪ right triangular prism has two parallel and congruent triangular faces and three rectangular faces that are perpendicular to the triangular faces.Īrea of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh). Thus, the lateral surface area of a triangular prism is: It is the sum of all the areas of the vertical faces. Lateral Surface area is the surface area of the prism without the triangular base areas. S 1, S 2, and S 3 are the three sides of the base triangle Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)ī is the resting side of the base triangle, Thus, the formula for the surface area of a triangular prism is: The area of the two triangular bases is equal to The sum of areas of the parallelograms joining the triangular base is equal to the product of the perimeter of the base and length of the prism. The surface area of a triangular prism is obtained by adding all the surface areas of faces that constitute the prism. Derivation of Surface Area of Triangular Prism

Finding surface area of a triangular prism