pdf Surface Area of Rectangular Prisms and Cubes Using Unit Grids New
Tagged in 6.G.A.4, 6th grade, cubes, geometry, length width height, measurement, rectangular faces, rectangular prisms, square faces, square units, surface area, three-dimensional figures, unit-square grids
This surface area worksheet gives students visual practice finding the total surface area of rectangular prisms and cubes. Students analyze 12 grid-lined three-dimensional models, determine each figure’s dimensions by counting unit lengths, and apply the appropriate surface-area formula.
For rectangular prisms, students use \(SA = 2(lw + lh + wh)\) to calculate the combined areas of three pairs of congruent rectangular faces. For cubes, students use \(SA = 6s^2\) because all six faces are congruent squares. The unit-square grids help students connect the dimensions of each solid to the areas of its individual faces.
This resource works well for guided practice, independent practice, homework, review, intervention, or formative assessment. The included answer key identifies each figure’s dimensions and shows the formula, substitution, calculation, and final surface area in square units.
Skills Assessed
- Finding the surface area of rectangular prisms
- Finding the surface area of cubes
- Applying \(SA = 2(lw + lh + wh)\)
- Applying \(SA = 6s^2\)
- Determining dimensions from unit-square grids
- Identifying length, width, height, and side length
- Calculating the areas of rectangular and square faces
- Expressing surface area in square units
Details
- 4 pages
- 2 student practice pages
- 12 surface-area problems
- 6 rectangular prisms
- 6 cubes
- Grid-lined three-dimensional models
- Whole-number dimensions
- Answer key with formula substitutions included
ID# 0975