Touchstone Standards

Georgia Grade 6 math, Geometric & Spatial Reasoning

6.GSR.5.2 worksheets: surface area from nets of prisms and pyramids

The standard

Given the net of three-dimensional figures with rectangular and triangular faces, determine the surface area of these figures.

Element 6.GSR.5.2 of Georgia's K-12 Mathematics Standards (2021, effective SY2023-24), in the Geometric & Spatial Reasoning strand. It sits under standard 6.GSR.5: Solve relevant problems involving area, surface area, and volume.

What students practice

Every surface-area item prints the net. Students match nets to solids, count faces, find the area of each rectangular or triangular face, and add to get the surface area. Faces are rectangles and triangles only, and net edges are whole numbers. There are no cylinders or circles.

Where to find it

  • p. 3Nets and Solids. Write the letter of the solid each net folds into, and count its faces.
  • p. 4Box Nets on a Grid. Count the squares in each lettered face, then find the total.
  • p. 5Box Nets With Labels. Use the labels to find the area of each lettered face, then the total.
  • p. 6Triangular Prism Nets. Find the area of each lettered face, then add to find the total.
  • p. 7Pyramid Nets. Find the area of the base and of each triangle, then the total.
  • p. 8Surface Area in the Real World. Use the net and the story to solve each problem.
  • p. 9Surface Area Code. Find each surface area, then write its letter from the code bank.
  • p. 14Mixed Review. Solve each problem, then check your work.
Strategy Spotlight from Nets, Surface Area, and Volume, page 8

Think: paper that covers a box covers all 6 faces, so add every face.

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