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2 votes
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Which of the following shapes could have a triangular cross-section? Prism ,Cone ,Cylinder ,Pyramid ?

A) Prisms only
B) Prisms and Cones
C) Prisms, Cones, and Pyramids
D) Prisms, Cylinders, and Pyramids
please help me

User Hungr
by
3.7k points

2 Answers

7 votes

Final answer:

Prisms, cones, and pyramids can have a triangular cross-section, while a cylinder cannot because its bases are always circles.

Step-by-step explanation:

The shapes that could have a triangular cross-section are prisms, cones, and pyramids. A prism has bases that are polygons and every cross-section parallel to these bases is congruent to the bases, meaning one can have a triangular base making the cross-section triangular. A cone and pyramid can also have a triangular cross-section if you cut them with a plane parallel to one of the faces of the triangle base. However, a cylinder cannot have a triangular cross-section because its bases are always circular and any cross-section parallel to these bases will also be a circle.

Therefore, the correct answer is C) Prisms, Cones, and Pyramids.

User Prashant Jajal
by
4.1k points
1 vote
The correct answer would be C

Hope this helped
User Matt Patenaude
by
4.1k points