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Question
15.2.1 study: platonic solids
| solid | base(s) | lateral face(s) |
|---|---|---|
| cylinder | discs | curved rectangle |
| prism | polygons | at least rectangles |
| pyramid | polygon | at least triangles |
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Step1: Recall cone properties
A cone has 1 circular base (disc - shaped) and its lateral face is a curved surface which can be thought of as a section of a circle.
Step2: Recall cylinder properties
A cylinder has 2 circular bases (discs) and its lateral face is a curved rectangle when un - rolled.
Step3: Recall prism properties
A prism has 2 congruent and parallel polygons as bases and at least 3 rectangular lateral faces (in the case of a triangular prism).
Step4: Recall pyramid properties
A pyramid has 1 polygon as a base and at least 3 triangular lateral faces (in the case of a triangular pyramid).
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Cone: 1, curved surface;
Cylinder: 2, curved;
Prism: 2, 3;
Pyramid: 1, 3