pdf Surface Area of Rectangular & 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, rectangular prisms, square units, surface area, three-dimensional figures, triangular bases, triangular prisms
This surface area worksheet gives students mixed practice finding the total surface area of rectangular and triangular prisms. Students analyze six three-dimensional figures with labeled dimensions and select the appropriate formula for each type of prism.
For rectangular prisms, students apply \(SA = 2(lw + lh + wh)\). For triangular prisms, students calculate the area of one triangular base using \(B = \frac{1}{2}ba\), find the perimeter of the triangular base, and then apply \(SA = 2B + PH\). The problems require students to connect each labeled dimension to the correct part of the surface-area formula.
This resource works well for guided practice, independent practice, homework, review, intervention, or formative assessment. The included answer key shows each formula, substitution, intermediate calculation, and final surface area in square units.
Skills Assessed
- Finding the surface area of rectangular prisms
- Finding the surface area of triangular prisms
- Applying \(SA = 2(lw + lh + wh)\)
- Applying \(SA = 2B + PH\)
- Finding the area of a triangular base using \(B = \frac{1}{2}ba\)
- Calculating the perimeter of a triangular base
- Identifying dimensions in three-dimensional figures
- Completing multi-step surface-area calculations
- Expressing surface area in square units
Details
- 2 pages
- 6 surface-area problems
- 3 rectangular prisms
- 3 triangular prisms
- Whole-number dimensions
- Labeled three-dimensional models
- Answer key included
- Formula substitutions and calculations included
ID# 0974