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Cross Sections Quiz – Grade 7 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 7 Math Quizzes – Mathbot, the Math Made Easy robot coach, with free printable quizzes for Grade 7

Looking for a cross sections quiz? Then this Grade 7 quiz on Cross Sections of Prisms and Pyramids asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions check naming cross sections of prisms and pyramids and computing their dimensions and areas. Each wrong choice mirrors a real slip, such as thinking every pyramid slice is a triangle, so picture the plane and the solid before you answer.

Standards: 7.G.A.3 · Level: Grade 7

Mathbot, the Math Made Easy robot coach

What this Cross Sections of Prisms and Pyramids quiz checks

  • A cross section is the two-dimensional face where a plane meets a solid.
  • Every parallel or perpendicular slice of a rectangular prism is a rectangle.
  • A pyramid slice parallel to its base is a rectangle similar to the base, scaled by distance from the apex ÷ height.
  • A vertical pyramid slice is a triangle through the apex and a trapezoid otherwise.

The 10 questions of the quiz

  1. A flat cut runs parallel to the bottom of a box-shaped prism. Which shape appears on the cut face?
  2. A flat cut runs parallel to the bottom of a pyramid with a rectangular base. Which shape appears on the cut face?
  3. What is the cross section shown in the figure?
  4. What is the cross section shown in this figure?
  5. A box measures 12 in by 5 in by 8 in. An upright cut runs parallel to the 12-by-8 side. What is the area of the cut face?
  6. A model pyramid has a 15 in by 9 in base and is 12 in tall. A flat cut parallel to the base passes 4 in below the apex. What are the sides of the slice?
  7. Which cross section can a rectangular prism never have when cut parallel or perpendicular to its base?
  8. A pyramid is cut parallel to its base halfway between the base and the apex. How does the area of the slice compare with the base area?
  9. A pyramid has a 10 in base and a height of 8 in. A vertical plane through the apex is parallel to the 10 in edge. What is the area of the triangle?
  10. A tank has a 20 in by 10 in base and is filled with water 6 in deep. What is the area of the water’s surface?

After the quiz

Missed a question? Reread the Cross Sections of Prisms and Pyramids lesson, then take the quiz again. Next, solve the Grade 7 worksheet on Cross Sections of Prisms and Pyramids, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

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