pdf Surface Area of Square Pyramids - Using Slant Height New
Tagged in 7.G.B.6, 7th grade, base area, geometry, lateral area, measurement, perimeter, pyramids, slant height, square pyramids, square units, surface area, three-dimensional figures
This surface area of square pyramids worksheet gives students focused practice finding the total area of three-dimensional figures. Students use the base side length and slant height of each square pyramid to calculate the area of the square base and the combined area of the four triangular faces.
Students apply the formula \(SA = B + \frac{1}{2}P\ell\), where \(B\) represents the area of the base, \(P\) represents the perimeter of the base, and \(\ell\) represents the slant height. Because each figure has a square base, students can also connect the formula to \(SA = s^2 + 2s\ell\).
This resource works well for guided practice, independent practice, homework, review, intervention, or formative assessment. The included answer key shows the base area, base perimeter, formula substitution, calculation, and final surface area in square units for every problem.
Skills Assessed
- Finding the surface area of square pyramids
- Applying \(SA = B + \frac{1}{2}P\ell\)
- Identifying the base side length and slant height
- Calculating the area of a square base
- Calculating the perimeter of a square base
- Finding the lateral area of triangular faces
- Completing multi-step calculations
- Expressing surface area in square units
Details
- 4 pages
- 2 student practice pages
- 12 square-pyramid problems
- Whole-number dimensions
- Base side lengths and slant heights provided
- Answer key included
- Formula substitutions and calculations included
ID# 0972