Prisims/Cylinders

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9th Grade

Last updated 4:53 PM on 3/1/26
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15 Terms

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Prism

  • a 3D solid in which the 2 bases are congruent

  • Lateral faces are rectangles

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Rectangular Prism

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Triangular Prism

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Pyramids

  • 3D solid with one base

  • Lateral faces are triangles that meet at a vertex

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Square Pyramid

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Triangular Pyramid

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Non-Polyhedrons

3D shape that has at least one curved surface

  • Cylinders

  • Cones

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Cylinders

  • a 3D solid with 2 identical circle bases and one curved side

<ul><li><p>a 3D solid with 2 identical circle bases and one curved side</p></li></ul><p></p>
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Cones

  • a 3D solid with one circle base that tapers smoothly to a vertex point

<ul><li><p>a 3D solid with one circle base that tapers smoothly to a vertex point</p></li></ul><p></p>
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Height for the 3D shapes

  • Prisms & Cylinders - Height is perpendicular distance between bases

  • Pyramids & Cones - Height is perpendicular distance between vertex and base

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Right

  • Lateral edges are perpendicular to base angles

<ul><li><p>Lateral edges are perpendicular to base angles</p></li></ul><p></p>
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Oblique

  • Lateral edges are NOT perpendicular to base edges

<ul><li><p>Lateral edges are NOT perpendicular to base edges</p></li></ul><p></p>
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Nets

  • When a 3D solid is unfolded into 2D figures

<ul><li><p>When a 3D solid is unfolded into 2D figures</p></li></ul><p></p>
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Cross Section

  • When a 3D solid is sliced to reveal a 2D figure

  • Any cross section parallel to a base is the same shape as the base*

<ul><li><p>When a 3D solid is sliced to reveal a <strong>2D</strong> figure</p></li><li><p><strong>Any cross section parallel to a base is the same shape as the base*</strong></p></li></ul><p></p>
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A Solid of Revolution

  • When a 2D figure is swept around a line forming a 3D solid

  • Commonly used figures:

Triangle → Cone

Rectangle → Cylinder

Semi Circle → Sphere