find surface area of triangular prism formula

#FIND SURFACE AREA OF TRIANGULAR PRISM FORMULA HOW TO#

Thus, total surface area of an equilateral triangular prism is (√3a 2/2) + 3(a × h) Lateral surface area of an equilateral triangular prism = 3(a × h), where, 'h' is height of a prism and 'a' is side length of the triangular baseįAQs on the Surface Area of an Equilateral Triangular Prism What Is Meant By the Surface Area of an Equilateral Triangular Prism?.Since all the sides of an equilateral triangle are the same the area of the three rectangular side faces is 3(height of the prism × any side length).Calculate the area of the rectangular faces: The area of the three rectangular side faces is the height of the prism × side1, the height of the prism × side2, and the height of the prism × side 3.Calculate the area of the top and base equilateral triangles: The area of the top and base equilateral triangles is 2 × (√3a 2/4).The following steps are used to calculate the surface area of an equilateral triangular prism : After expanding the 3-d figure into 2-d we will get two equilateral triangles and three rectangles. The surface area of an equilateral triangular prism can be calculated by representing the 3-d figure into a 2-d net, to make the shapes easier to see.

#FIND SURFACE AREA OF TRIANGULAR PRISM FORMULA HOW TO#

How to Calculate the Surface Area of an Equilateral Triangular Prism? Lateral surface area of an equilateral triangular prism = 3(a × h) The lateral surface area of an equilateral triangular prism can be calculated by adding the areas of the three rectangular faces. The lateral surface area of any object is calculated by removing the base area or the lateral surface area is the area of the non-base faces only. Lateral Surface Area of an Equilateral Triangular Prism

'h' = Height of the equilateral triangular prism.

'a' = Side length of the equilateral triangle.

Total surface area of an equilateral prism = (√3a 2/2) + 3(a × h) When 'a' is the side length of the equilateral triangle and 'h' is the height of the equilateral triangular prism, the surface area of the three rectangular faces is 3(a × h) whereas the total area of the two equilateral triangular faces is 2 × (√3a 2/4). The formulas for LSA and TSA are given as: Total Surface Area of an Equilateral Triangular Prism The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism. The tesseract's radial equilateral symmetry makes its tessellation the unique regular body-centered cubic lattice of equal-sized spheres, in any number of dimensions.Surface Area of an Equilateral Triangular Prism Formula

Hence, the tesseract has a dihedral angle of 90°. It is the four-dimensional hypercube, or 4-cube as a member of the dimensional family of hypercubes or measure polytopes. The tesseract is also called an 8-cell, C 8, (regular) octachoron, octahedroid, cubic prism, and tetracube. The tesseract is one of the six convex regular 4-polytopes. Just as the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells. In geometry, a tesseract is the four-dimensional analogue of the cube the tesseract is to the cube as the cube is to the square. The tesseract can be unfolded into eight cubes into 3D space, just as the cube can be unfolded into six squares into 2D space.

Find surface area of triangular prism formula