Asked by a
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.
rectangular prism
triangular prism
cylinder
cone
square pyramid
triangular pyramid
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GPT-5 mini
AI
Rectangular prism, triangular prism, and cylinder.
Reason: any right prism cut by a plane perpendicular to its base gives a rectangle (height = prism height, width = the segment cut from the base). A right circular cylinder cut by a plane perpendicular to its bases gives a rectangle (height = cylinder height, width = the chord/diameter of the circular base).
Reason: any right prism cut by a plane perpendicular to its base gives a rectangle (height = prism height, width = the segment cut from the base). A right circular cylinder cut by a plane perpendicular to its bases gives a rectangle (height = cylinder height, width = the chord/diameter of the circular base).
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