Tagged in 6.g, 6th grade, 7.G, 7th grade, area of triangles, decomposing three dimensional figures, geometry practice, geometry worksheet, lateral area, multi-step surface area, perimeter of triangles, surface area of triangular prisms, triangular prism nets
This worksheet provides structured, concept-focused practice on finding the total surface area of triangular prisms using nets. Students explore two strategies: adding the areas of all five faces individually or using a more efficient method that combines the area of the two triangular bases with the lateral area.
The guided example walks students through a three-step process. First, they multiply the base and height of one triangular face to determine the total area of both congruent triangles. Next, they find the perimeter of one triangular face and multiply it by the height of the prism to calculate the combined area of the three rectangular faces. Finally, they add these results to determine total surface area. This structure reinforces the reasoning behind the formula approach and strengthens conceptual understanding.
Each problem includes an organized work area that prompts students to compute the area of the triangular faces, the lateral area, and the total surface area separately. By emphasizing perimeter, triangle area, and rectangular area within one task, this resource builds strong connections between two-dimensional and three-dimensional geometry.
Skills Assessed
Finding the surface area of triangular prisms
Interpreting and analyzing prism nets
Calculating the area of triangles
Using perimeter to determine lateral area
Organizing multi-step geometric calculations
Connecting nets to three-dimensional solids
Details
5 pages
Answer key included
ID# 0737