![]() ![]() ![]() Exercises for Finding the Volume and Surface Area of Triangular Prism Find the volume and surface area for each triangular prism. The general formula to find the total surface area of a prism is: Total Surface Area (TSA) 2 × Base Area + Base Perimeter × Height, here, the height of a prism is the distance between the two bases. If youre trying to find the surface area of a triangular prism, use the formula SA 2a + ph, where a is the area of the triangle, p is the perimeter, and h is the height. The volume of the given triangular prism \(=base\:area\:×\:length\:of\:the\:prism = 24 × (10) = 240\space in^3\). The surface area is measured in square units such as m 2, cm 2, mm 2, or in 2. To find surface area for a rectangular prism, use the formula SA 2ab + 2bc + 2ac, where a is the width, b is the height, and c is the length. Using the volume of the triangular prism formula, The area of the triangular cross-section is 10 mm². The length of the prism is \(L = 10\space in\). Multiply the base by the height and divide by two, (5 × 4)/2 10. The answer is the surface area of the above triangular prism is 486 square inches. As we already know that the base of a triangular prism is in the shape of a triangle. SA 108 + 27(14) Then, multiply the sum of the triangle sides by the height of the prism (H) and add the values together for the answer, making sure to include the appropriate unit of measurement. The volume of a triangular prism is the product of its triangular base area and the length of the prism. There are two important formulas for a triangular prism, which are surface area and volume. The formula for the surface area of a triangular prism is written as: Surface area of a triangular prism S (2 x Base area) + (Base perimeter x Height of the prism) S 2A + PL. The surface area is expressed in square units. Any cross-section of a triangular prism is in the shape of a triangle. The surface area of a triangular prism is equal to the sum of the area of tree lateral surfaces and the two bases.The two triangular bases are congruent with each other. This geometry video tutorial explains how to calculate the surface area of a triangular prism using a simple formula.It is a polyhedron with \(3\) rectangular faces and \(2\) triangular faces. ![]()
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