pdf Surface Area of Triangular Prisms - 3D View New
Tagged in 6.G.A.4, 6th grade, 7.G.B.6, 7th grade, base area, geometry, lateral area, measurement, perimeter, prism length, square units, surface area, three-dimensional figures, triangle altitude, triangular bases, triangular prisms
This surface area of triangular prisms worksheet gives students focused practice calculating the total area of three-dimensional figures. Students analyze 12 triangular prisms with labeled dimensions and use the measurements of each triangular base and the prism length to determine the total surface area.
Students first calculate the area of one triangular base using \(B=\frac{1}{2}ba\). They then find the perimeter of the triangular base and apply \(SA=2B+PH\), where \(B\) represents the area of one base, \(P\) represents the perimeter of the base, and \(H\) represents the length of the prism.
The problems include right-triangular and isosceles-triangular bases with whole-number dimensions. This resource works well for guided practice, independent practice, homework, review, intervention, or formative assessment. The included answer key shows the base-area calculation, perimeter, formula substitution, and final surface area for every problem.
Skills Assessed
- Finding the surface area of triangular prisms
- Applying \(SA=2B+PH\)
- Finding the area of a triangular base using \(B=\frac{1}{2}ba\)
- Identifying the base and perpendicular altitude of a triangle
- Calculating the perimeter of a triangular base
- Identifying the length of a prism
- Completing multi-step surface-area calculations
- Expressing surface area in square units
Details
- 4 pages
- 2 student practice pages
- 12 triangular-prism problems
- Right-triangular and isosceles-triangular bases
- Whole-number dimensions
- Labeled three-dimensional models
- Answer key included
- Formula substitutions and calculations included
ID# 0976