Help your students prepare for their Maths GCSE with this free surface area of a triangular prism worksheet of 34 questions and answers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
Surface area is a measure of the total area of all of the faces of a solid shape. A triangular prism is a 3D shape with identical triangles at each end, connected by a number of rectangular faces (lateral faces). To find the total surface area of a triangular prism, we find the area of each face and add them together.
A triangular prism has five faces. When finding the surface area of the triangular prism, we start by finding the area of the triangular faces. Remember that to find the area of a triangle, we multiply the base of the triangle by the height of the triangle and divide by two. The triangular ends are exactly the same (congruent) so their areas will be identical.
We can then find the lateral surface area (the area of the rectangular sides). Note that each rectangular face may have a different area, depending on its side lengths. The total surface area can be found by calculating the sum of the areas of the triangular faces, area of the base and area of the top faces.
The depth of a prism can also be referred to as the length or the height of the prism depending on its orientation.
Surface area of 3D shapes is measured in square units such as cm^2 or mm^2 .
Looking forward, students can then progress to additional surface area worksheets and other geometry worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet.
For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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