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Deriving the Formula - Volume of Pyramid
A video showing the volume of a pyramid and a prism.
Deriving the Formula - Volume of Cone
A video showing the volume of a cone and cylinder.
Interactive showing the cross sections of a cube.
An exploration of prisms.
An exploration of pyramids.
An exploration of Platonic solids.
This site includes printable nets that can be used to create models of Platonic solids.
Feedback for question number five in the lesson assessment.
A description of Euler's Theorem.
An interactive demonstrating how to find the volume of a cube.
This page demonstrates how to find the volume of a rectangular prism.
This page demonstrates how to find the volume of a cylinder.
A demonstration of slicing solids.
Axis of a Cone/Cylinder | In a cone, the segment with one endpoint at the vertex and the other at the center of the base.![]() In a cylinder, the segment with endpoints at the centers of the bases. |
Altitude | In a prism or cylinder, the altitude is a segment perpendicular to the bases with an endpoint in each plane containing a base or the length of this segment.![]() In a pyramid or cone, the altitude is a segment perpendicular to the base with one endpoint at the vertex and the other endpoint in the plane of the base or the length of this segment. ![]() |
Cone | A solid with a circular base and a vertex not contained in the same plane as the base.![]() |
Conjecture (statement) | An educated guess; a sentence that is either true or not true. |
Cross section | The plane figure which results when a 3-dimensional solid is intersected by a plane.![]() |
Cylinder | A figure with bases that are congruent circles. The bases are parallel to each other.![]() |
Edge | A line segment where the faces of a polyhedron meet.![]() |
Face | The flat surfaces of a 3-dimensional solid.![]() |
Great Circle | The intersection of a sphere and a plane that contains the center of the sphere.![]() |
Hemisphere | Half of a sphere![]() |
Oblique | A prism, cylinder, or cone that is NOT a right prism, cylinder, or cone. The lateral edges (prism) or the axis (cylinder or cone) is not perpendicular to the base(s).![]() |
Platonic Solids | The five regular polyhedra; the faces are all congruent polygons and each vertex is the intersection of the same number of edges. Tetrahedron: ![]() Hexahedron (Cube): ![]() Octahedron: ![]() Dodecahedron: ![]() Icosahedron: ![]() Source: http://www.mathisfun.com/platonic_solids.html |
Prism | A 3-dimensional solid in with two parallel and congruent faces (called bases) which are polygons and with lateral faces which are parallelograms.![]() |
Pyramid | A 3-dimensional solid in which all of lateral faces are triangles which meet at one point called the vertex. The remaining face (called the base) is a polygon.![]() |
Polyhedron | Closed 3-dimensional figures made up of flat polygonal regions. The polygons and their interiors are called faces. Pairs of faces intersect at segments called edges. Points where three or more faces intersect are called vertices (singular: vertex).![]() |
Regular Polyhedron | A polyhedron in which all of the faces are regular congruent polygons.![]() |
Regular Prism | A right prism with bases that are regular polygons.![]() |
Regular Pyramid | A right pyramid with a base that is a regular polygon.![]() |
Right Prism | A prism whose lateral edges are perpendicular to its bases.![]() |
Right Cylinder | A cylinder with an axis which is also an altitude.![]() |
Right Cone | A cone with an axis which is also an altitude.![]() |
Slant Height | The height of the lateral side of a pyramid or cone.![]() |
Sphere | In space, the set of all points that are a certain distance (called the radius) from a fixed point called the center.![]() |
Vertex (plural: vertices) | The intersection of three edges of a polyhedron.![]() |