![]() Here the base is triangular so the base area A = ½ bh, and the base perimeter = the sum of three sides of the triangle let's say (a + b + c). Therefore, according to the surface area of the prism formula (2 × Base Area) + (Base perimeter × height). The given prism has two triangular bases. Let us calculate the surface area of the triangular prism given below with a base "b", the height of prism "h", and length "L". Surface area of octagonal prism = 4a 2 (1 + √2) + 8aHĬheck out types of prisms to get more details about various prisms. Surface area of regular hexagonal prism = 6ah + 3√3a 2 Surface area of hexagonal prism = 6b(a + h) Surface area of pentagonal prism = 5ab + 5bh Surface area of trapezoidal prism = h (b + d) + l (a + b + c + d) Surface area of rectangular prism = 2(lb + bh + lh) Surface area of square prism = 2a 2 + 4ah Surface area of triangular prism = bh + (s1 + s2 + b)H Surface Area of Prism = (2 × Base Area) + (Base perimeter × height) See the table below to understand this concept behind the surface area of various prism: Shape The bases of different types of prisms are different so are the formulas to determine the surface area of the prism. Thus, the lateral surface area of prism = base perimeter × height The total surface area of a Prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height). The lateral area is the area of the vertical faces, in case a prism has its bases facing up and down. Let us look at the surface area of the prism formula The total surface area of a prism is the sum of lateral surface area and area of two flat bases. To find the surface area of any kind of prism we use the general formula. ![]() ![]() Finding the surface area of a prism means calculating the total space occupied by all the faces of that respective type of prism or the sum of the areas of all faces (or surfaces) in a 3D plane. If you are interested in a personalized quote for campus and district licenses, please click here.The surface area of a prism refers to the amount of total space occupied by the flat faces of the prism. See more information on our terms of use here. It is a copyright violation to upload the files to school/district servers or shared Google Drives. Students should be the only ones able to access the resources. Resources may only be posted online in an LMS such as Google Classroom, Canvas, or Schoology. Products by Maneuvering the Middle®, LLC may be used by the purchaser for their classroom use only. We aim to provide quality resources to help teachers and students alike, so contact me before leaving feedback if you have a need. If you have any questions, please feel free to reach out for assistance. Please purchase the appropriate number of licenses if you plan to use this resource with your team. This file is a license for ONE teacher and their students. Try out a FREE math resource! Grab your freebie here! Looking for more helpful teaching tips, ideas, and support? Check out and join our online FB community MTM VIPS! Check out the corresponding Surface Area Unit, which includes student handouts, independent practice, assessments, and answer keys.There are multiple problems to practice the same concepts, so you can adjust as needed. However, feel free to review the activities and select specific problems to meet your students’ needs and time specifications. Performance tasks summarize the entire unit and may need 2-3 class periods. Most activities can be utilized within one class period.Incorporate within our Surface Area Unit to support the mastery of concepts and skills.Use as an alternative homework or independent practice assignment.Use in a small group for additional remediation, tutoring, or enrichment.Use as a whole group classroom activity.***Please download a preview to see sample pages and more information.*** Cut and Paste: Surface Area of Triangular Prisms.Students are able to practice and apply concepts with this triangular prisms surface area activity, while collaborating and having fun! Math can be fun and interactive!Ģ8 ready-to-print triangular prisms, formulas and solution cards that can be utilized in pairs or groups of 3-4 and any necessary recording sheets and answer keys. Students can be hands-on, while still applying their understanding of the surface area of triangular prisms. This activity is great for extra practice, as a station or center, and can be used to add variety to homework or independent work. Students will match each triangular prism to its total surface area formula and solution. This Surface Area of Triangular Prisms Cut and Paste is a great way to practice using the formula (Ph+2B) for finding the surface area of triangular prisms.
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