A square pyramid with base side 3 cm and height 6 cm is sliced by a plane parallel to the square base. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
CCSS 7.G.A.3 · plane sections of 3D figures
Cross Sections of 3D Figures Worksheet Generator
Read a schematic solid and slice direction, then identify the 2D figure made by the plane. The diagrams are intentionally schematic and labeled so students reason from the cut, not from misleading perspective distortion.
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Cross Sections of 3D Figures
Diagrams are part of the problem data, not decorative assets. Student pages keep solution-specific marks hidden; reveal answers or use the separate PDF key to check work.
Problem 1
Problem 2
A triangular prism with a triangular base 5 cm wide and 8 cm high and prism length 10 cm is sliced by a plane perpendicular to the triangular bases and parallel to the prism length. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 3
A rectangular prism measuring 6 cm by 8 cm by 11 cm is sliced by a plane parallel to the rectangular base. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 4
A cube with side length 5 cm is sliced by a plane parallel to one face. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 5
A triangular prism with a triangular base 5 cm wide and 3 cm high and prism length 9 cm is sliced by a plane perpendicular to the triangular bases and parallel to the prism length. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 6
A triangular prism with a triangular base 9 cm wide and 7 cm high and prism length 10 cm is sliced by a plane perpendicular to the triangular bases and parallel to the prism length. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 7
A rectangular prism measuring 6 cm by 9 cm by 11 cm is sliced by a plane perpendicular to the base and parallel to a side face. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Problem 8
A triangular prism with a triangular base 8 cm wide and 3 cm high and prism length 8 cm is sliced by a plane perpendicular to the triangular bases and parallel to the prism length. What 2D cross-section is formed?
Show reasoning / computation: __________________________________________
Teaching note 1
A plane parallel to a prism base produces a cross-section congruent to that base.
Teaching note 2
A plane through a pyramid apex and across the base can produce a triangle.
Teaching note 3
Perspective drawings are schematic; use the stated slice direction as the mathematical condition.
Continue the 7.G progression
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Frequently asked questions
Are the 3D drawings to scale?
No. Perspective solids are marked and treated as schematics; the slice relationship, not apparent screen length, determines the answer.
Which solids appear?
Current seeds include rectangular prisms, triangular prisms, square pyramids, and cubes.