The perimeter of the base is the total length of the edges of the base triangle, while the length of the prism is its height. The lateral surface area of a triangular prism can be calculated by multiplying the perimeter of the base by the length of the prism. When a triangular prism has its bases facing up and down, the lateral area is the area of the vertical faces. In other words, the lateral surface area of a triangular prism is calculated without considering the base area. The lateral surface area of any solid is the area without the bases. (bh) is the combined area of the two triangular faces = bh.S 1, S 2, and S 3 are the three edges (sides) of the base triangle.b is the bottom edge of the base triangle,.Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S 1 +S 2 + S 3)L + bh The formula for the surface area of triangular prism is: Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula. The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. You might want to place an order with us.Formula for Surface Area of Triangular Prism '96% of our customers have reported a 90% and above score. The post What is the surface area of this triangular prism? appeared first on homeworkcrew. If you have any questions please do not hesitate to leave a comment! To find the surface area add all the areas up: Therefore #length times width = 5 in times 2 in = color(green)(10 in^2)# This side is also a rectangle with length of #5 in# and a width of #2 in#. Therefore #length times width = 2 in times 3 in = color(pink)(6 in^2)# This side of the prism (outlined in pink) is also a rectangle with a width of #3 in# and length of #2 in# (since the blue-circled sides are parallel and the prism structure is perpendicular).

Therefore #length times width = 4 in times 2 in = color(orange)(8 in^2)# The formula to calculate the area of the triangle is #length times width# and the rectangle at the bottom has base of #4 in# and width of #2 in#. The bottom of the prism is a rectangle since the angles are 90 degrees. There are two triangular surfaces (one in yellow and white) so multiply the area of the triangle by factor of #2#: #6 in^2 times 2 = color(blue)(12 in^2)# Using the area formula for triangles (#1/2bh# where #b# is the base and #h# is the height) the area of the triangular surface is #1/2bh=1/2(3 in)(4 in) = 1/2 (12 in^2)=6 in^2#. This triangular surface is 3 inches (height) by 4 inches (base). Let’s calculate each side separately and then we can add them up at the end. The surface area of that prism is basically all the areas that you can touch (total area of the outside/surface). In extremely simple terms imagine you have a woodblock shaped like the triangular prism in picture you attached.

Even though the explanation might seem slightly long it is really easily broken down into pieces so I highly recommend you read and learn from it. The surface area of this prism is #36 in^2#.

Surface area of a triangular prism