surface area of the triangular prism formula

#Surface area of the triangular prism formula how to

Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S 1 + S 2 + h) × l.

Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).

The following steps are used to calculate the surface area of a right triangular prism: Observe the following figure which shows a right triangular prism. After expanding this 3-d shape into the 2-d shape we get two right triangles and three rectangles. The surface area of a right triangular prism can be calculated by representing the 3-d figure into a 2-d net, which makes it easier to understand.

#Surface area of the triangular prism formula how to

How to Find the Surface Area of a Right Triangular Prism?Ī right triangular prism has two parallel and congruent triangular faces and three rectangular faces that are perpendicular to the triangular faces. Lateral Surface Area = (S 1 + S 2 + S 3) × l = (Perimeter × Length) or LSA = p × l Thus, the lateral surface area of triangular prism is: Observe the following figure to understand the lateral surface and the base of a triangular prism. 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 triangular prism formula for surface area is formed by adding up the area of all the rectangular and triangular faces of a prism. The square prism when opened showcases the squares and rectangles.Formula for Surface Area of Triangular Prism The net of a square prism is the flattened version of the solid. In a truncated square prism the lateral edges are non-congruent and the lateral faces are quadrilaterals. What is a Truncated Square Prism?Ī truncated square prism is a part of a prism which is formed by passing a plane which is not parallel to the base and which intersects all the lateral edges. If the length of the side of the base square and the height of the prism is given, then its volume can be calculated using the following formula: Volume = Base Area × Height of the prism = s 2 × h where 's' is the length of the side of the base square and 'h' is the height of the prism. The volume of a square prism is the product of its base area and height.

How Many Vertices, Edges, and Faces Does a Square Prism Have?Ī square prism has 8 vertices, 12 edges, and 6 faces. In a square prism, the opposite sides and angles are congruent to each other. The sum of the consecutive angles of a square prism is supplementary, that is, 180°.Ī three dimensional cuboid with six faces in which the bases are squares, is identified as a square prism.The opposite angles of a square prism are congruent to each other.In a square prism, the opposite sides are parallel and congruent to each other.The basic properties of a square prism are as follows: Here, a = the length of the side of the prism and h = the height of the prism What are the Properties of a Square Prism?

Surface Area of a square prism = 2a 2 + 4ah.

There are two basic formulas related to a square prism: Therefore, all cubes can be square prisms, but all square prisms cannot be cubes. A cube is a three-dimensional solid figure with all its faces as squares. A square prism is a three-dimensional solid figure with six faces in which the two opposite faces are squares while the other four are rectangular. No, all square prisms are not the same as cubes. FAQs on Square Prism Is a Square Prism the Same as a Cube? Explain.