![]() We want to find the minimum so we set SA' = 0. SA = 2(sqrt(3)/4)s 2 + 3sh (the first term is the 2 triangular parts and the second term is the three lateral, rectangular parts).Īs a function of s alone, we have SA = 2(sqrt(3)/4)s 2 + 4sqrt(3)350/s. This is equivalent to h = 4*350/(sqrt(3)s 2 ). V = (sqrt(3)/4)hs 2 = 350 cm 3 (I converted mL to cm 3 for ease). ![]() Then the area of the base is (sqrt(3)/4)s 2. Let s be the base of the triangle and h be the height. This is an ordinary optimization problem so it requires the use of basic calculus. A few other properties have been included in this article. What are the properties of triangular prism?Īns: It has five faces, nine edges and six vertices. ![]() The formula of volume of triangular prism is 1/2 b x h x l. The surface area triangular prism formula formula is 2 A+ PH.Īns: The volume of triangular prism is equal to the product of base and height of the prism. What is the surface area of triangular prism?Īns: The surface area of triangular prism is equal to the lateral surface and base area of the triangular prism. The frequently asked questions on triangular prism are given below:Īns: A triangular prism is a three-sided prism made of two triangular bases and three rectangular sides. The perimeter of triangular prism is a = b = c = 6cm.Īrea of the Triangular Prism = (bh + ( a + b + c)H)Īlso Download, NCERT Solutions for Class 12 Solutions: Given, Base = 4cm, height of the base= 8cm, length of the base=12cm, Height of the prism = 2cm Therefore, the volume of triangular prism is 192 cm 3Įxample 2: If the height of the prism is 6cm and the length of the side of the equilateral triangular base is 12 cm. Solution: Volume of Triangular Prism = 1/2 × b × h × l Some of the examples of triangular prism are given below:Įxample 1: Find the volume of the triangular prism with base is 4 cm, height is 8 cm, and length is 12 cm. Download NCERT Solutions for Class 8 Maths Chapter 10 PDF Where A is the area of triangular prism, P is perimeter and H is the height of the prism. Surface Area of Triangular Prism= 2 A+ PH The triangular prism surface area is equal to the lateral surface and base area of the triangular prism. It has two triangle bases and three rectangular sides.We have listed some of the important properties of Triangular Prism for the students to remember. Apart from triangular prism, there are other types of prism such as rectangular, square and pentagonal prism. The angle between refracting surfaces and refracting edge is called as angle of prism. The edges and vertices are connected with each other through rectangular bases. There are five faces, six edges and 6 vertices in triangular prism. Here, the bases are triangle whereas, lateral faces are rectangles. The triangular prism is composed of two-dimensional figures i.e., triangle and rectangle. A Triangular prism is a pentahedron with nine distinct nets. The triangular bases are parallel and congruent to each other. ![]() We can say that it is a geometrical shape with three rectangular sides and two triangular bases. It is a three dimensional figure consisting of identical ends connected with parallel lines.
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