CCSS.Math.Content.6.G.A.4
The Standard
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Common Core State Standards for Mathematics · Geometry
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students draw and interpret nets made from rectangles and triangles. They find the area of every face and add those areas to get surface area. They use the result to solve practical problems.
What Mastery Looks Like
- Students can draw or identify a valid net for a prism or pyramid. They label dimensions, find each rectangle and triangle area, and add all faces once. They report answers in square units.
Common Misconceptions
- Students may count an edge instead of a face, miss a hidden face, or count one face twice. They may forget to divide by two for triangle area or confuse surface area with volume. Some draw nets whose faces overlap or cannot fold into the intended solid.
How to Assess It
- Exit ticket: Draw and label a net for a triangular prism with 3, 4, 5 side lengths and length 8. Find its surface area and show each face area.
Lesson moves
Ways to Teach It
Build a triangular prism from a printed net, then color matching faces and add their areas.
Show two different nets for the same prism and ask, “Why must their total areas match?”
Play Net Match with cards showing solids, nets, dimensions, and surface areas; students assemble correct four-card sets.
Measure a closed cereal box, sketch its net, and calculate the least cardboard needed, ignoring flaps.
Free download
Printable 6.G.A.4 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.6.G.A.4, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetBefore This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.6.G.A.1
Surface area from nets requires finding and adding areas of rectangular and triangular faces, the same decomposition area work from 2D figures.
- CCSS.Math.Content.4.MD.A.3
Finding surface area from nets requires calculating and adding areas of rectangular faces from their side lengths.
What This Unlocks
Mastery here sets students up for these next.
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