pdf Surface Area of Triangular Prisms

This surface area worksheet gives students focused practice finding the total surface area of triangular prisms. Each three-dimensional model includes the measurements needed to find the area and perimeter of the triangular base, along with the length of the prism. Students calculate the area of one triangular base and then apply the formula SA = 2B + PH.

The activity connects the area and perimeter of a triangle with the surface area of a three-dimensional prism. Students use the triangle’s base and altitude to calculate B, add the three side lengths to determine P, and multiply the perimeter by the prism length to find the lateral area. This structure helps students understand how the two triangular bases and three rectangular faces combine to form the prism’s total surface area.

This resource works well for guided practice, independent practice, homework, intervention, review, or assessment. It builds on students’ earlier work with triangle area and perimeter while preparing them for more advanced applications involving right prisms, composite solids, volume, and other three-dimensional figures.

Skills Assessed

• Finding the area of triangular bases
• Calculating the perimeter of a triangle
• Identifying the length of a triangular prism
• Applying the triangular-prism surface area formula
• Combining base area and lateral area
• Expressing surface area in square units

Details

• 2 pages
• 6 triangular-prism problems
• Right, scalene, and isosceles triangular bases
• Labeled three-dimensional diagrams
• Complete answer key included
• Base area, perimeter, formula substitutions, and solution steps included

ID# 0616