![]() Measured in square units, such as cm² and m². of 3D close surface area (of a 3D shape) The total area of all the faces of a 3D shape. Understanding nets close net A group of joined 2D shapes which fold to form a 3D shape. The number of rectangular faces is the same as the number of edges close Edge The line formed by joining two vertices of a shape. at either end of the prism and a set of rectangles between them. faces close face One of the flat surfaces of a solid shape. is made up of congruent close congruent Shapes that are the same shape and size, they are identical. The surface area close surface area (of a 3D shape) The total area of all the faces of a 3D shape. ![]() The cross-section is a polygon close polygon A closed 2D shape bounded by straight lines. has a constant cross-section close cross-section The face that results from slicing through a solid shape. Using the area of triangle formula for the given type of triangle in base, we can calculate the base length by substituting the known values in the formula and solve.A prism close prism A 3D shape with a constant polygon cross-section. How to Calculate the Base Length Using Base Area of a Triangular Prism? ![]() The units used to express the base area of a triangular prism are in 2, m 2, cm 2, ft 2, etc. What Are the Units Used to Express Base Area of a Triangular Prism? When base triangle's two sides 'a' and 'b' and the included angle 'θ' are given, then area = 1/2 ab sin θ.When base triangle is scalene, with all three sides 'a', 'b', and 'c' are given, then area = √, where s = (a + b + c)/2.When base triangle is an isosceles triangle with its sides to be 'a', 'a', and 'b' then its area is (b/4).When base triangle is a right-angled triangle, with two legs 'b' and 'h' then area = (1/2) bh.When base triangle's base 'b' and height 'h' is given, then area = (1/2) bh.When base triangle is equilateral, with each side 'a', then area = √3a 2/4.The formulas that can be used to find the base area of a triangular prism are, What Are the Formulas to Find Base Area of a Triangular Prism? Express the result with a suitable unit.Apply the formulas to calculate the area of the base triangle and multiply it by 2.Note down the dimensions of the triangle in bases.The base area of a triangular prism can be calculated as, How to Calculate the Base Area of a Triangular Prism? A triangular prism has 2 triangle-shaped bases. The base area of a triangular prism is defined as the region or area covered by the bases of a triangular prism. Related Topics on Base Area of a Triangular PrismįAQs on the Base Area of a Triangular Prism What Is Base Area Triangular Prism? The base area of a triangular prism can be calculated when the base length and height of the base triangle are given.The base area of a triangular prism can be calculated when three sides of the base triangle are given.Important Notes on Base Area of a Triangular Prism Solution: Base area of the given triangular prism = (1/2) × b × h = (1/2) × 20 × 10 = 100 square units b is the length of the base of the triangle, and,Įxample: How to find the base area of a triangular prism given the height of the triangle h = 10 units and base b = 20 units?.1.īase Area of a Triangular Prism Using Sidesīase Area of a Triangular Prism Formula with Height and Baseīase Area of a Triangular Prism Formula if the Base and Height of the Triangle Are Givenįor a triangular prism, if the length of the base and height of the base triangle is given, then its base area can be given by,īase area of a triangular prism = Area of the base triangleīase area of a triangular prism = (1/2) × b × h The rectangles need not be congruent with each other. Both of the triangles are parallel and congruent to each other. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles. Recall that a prism is a solid which has identical polygon ends (bases), flat parallelogram sides, and has the same cross-section all along its length.Ī prism having three faces as rectangles and two triangles as its bases (one triangle acts as the top) is called a triangular prism. Let us start with the pre-required knowledge to understand the topic base area of a triangular prism. The base area of a triangular prism is the area of the triangle of the prism. In this section, we will discuss the base area of a triangular prism along with solved examples.
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