Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 21: Cylinders, Cones, and Spheres

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Video Definition 26--3D Geometry--Net for a Cube	Net for a Cube Topic 3D Geometry Definition A net for a cube is a two-dimensional representation of a cube, showing its six square faces laid out flat.	Cubes
Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio	Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Cubes
Video Definition 27--3D Geometry--Net for a Cylinder	Net for a Cylinder Topic 3D Geometry Definition A net for a cylinder is a two-dimensional representation of a cylinder, showing its two circular bases and rectangular curved surface laid out flat.	3-Dimensional Figures
Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio	Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 28--3D Geometry--Net for a Dodecahedron	Net for a Dodecahedron Topic 3D Geometry Definition A net for a dodecahedron is a two-dimensional representation of a dodecahedron, showing its twelve pentagonal faces laid out flat.	3-Dimensional Figures
Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio	Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 29--3D Geometry--Net for a Pyramid	Net for a Pyramid Topic 3D Geometry Definition A net for a pyramid is a two-dimensional representation of a pyramid, showing its base and triangular faces laid out flat.	Pyramids
Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio	Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Pyramids
Video Definition 3--3D Geometry--Base (Geometry)	Base (Geometry) Topic 3D Geometry Definition The base of a geometric figure is the surface a solid object stands on or the bottom line of a shape like a triangle or rectangle. Description The concept of a base is fundamental in geometry as it provides a reference point for measuring height and calculating area and volume. In real-world applications, the base is crucial in construction and design, where the stability of a structure often depends on its base. In mathematics, the base is used to derive formulas for area and volume, such as the volume V of a prism: V = Base Area × Height	3-Dimensional Figures
Video Definition 3--3D Geometry--Base (Geometry)--Spanish Audio	Video Definition 3--3D Geometry--Base (Geometry)--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 30--3D Geometry--Net for a Rectangular Prism	Net for a Rectangular Prism Topic 3D Geometry Definition A net for a rectangular prism is a two-dimensional representation of a rectangular prism, showing its six rectangular faces laid out flat.	Rectangular Prisms
Video Definition 30--3D Geometry--Net for a Rectangular Prism--Spanish Audio	Video Definition 30--3D Geometry--Net for a Rectangular Prism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Rectangular Prisms
Video Definition 31--3D Geometry--Net for a Tetrahedron	Net for a Tetrahedron Topic 3D Geometry Definition A net for a tetrahedron is a two-dimensional representation of a tetrahedron, showing its four triangular faces laid out flat.	3-Dimensional Figures
Video Definition 31--3D Geometry--Net for a Tetrahedron--Spanish Audio	Video Definition 31--3D Geometry--Net for a Tetrahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 32--3D Geometry--Net for a Triangular Prism	Net for a Triangular Prism Topic 3D Geometry Definition A net for a triangular prism is a two-dimensional representation of a triangular prism, showing its two triangular bases and three rectangular faces laid out flat.	Triangular Prisms
Video Definition 32--3D Geometry--Net for a Triangular Prism--Spanish Audio	Video Definition 32--3D Geometry--Net for a Triangular Prism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Triangular Prisms
Video Definition 33--3D Geometry--Net for an Antiprism	Net for an Antiprism Topic 3D Geometry Definition A net for an antiprism is a two-dimensional representation of an antiprism, showing its two polygonal bases and the alternating triangular faces laid out flat.	3-Dimensional Figures
Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio	Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 34--3D Geometry--Net for an Icosahedron	Net for an Icosahedron Topic 3D Geometry Definition A net for an icosahedron is a two-dimensional representation of an icosahedron, showing its twenty triangular faces laid out flat.	3-Dimensional Figures
Video Definition 34--3D Geometry--Net for an Icosahedron--Spanish Audio	Video Definition 34--3D Geometry--Net for an Icosahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 35--3D Geometry--Net for an Octahedron	Net for an Octahedron Topic 3D Geometry Definition A net for an octahedron is a two-dimensional representation of an octahedron, showing its eight triangular faces laid out flat.	3-Dimensional Figures
Video Definition 35--3D Geometry--Net for an Octahedron--Spanish Audio	Video Definition 35--3D Geometry--Net for an Octahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 36--3D Geometry--Octahedron	Octahedron Topic 3D Geometry Definition An octahedron is a three-dimensional shape with eight flat triangular faces.	3-Dimensional Figures
Video Definition 36--3D Geometry--Octahedron--Spanish Audio	Video Definition 36--3D Geometry--Octahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 37--3D Geometry--Platonic Solids	Platonic Solids Topic 3D Geometry Definition Platonic solids are a group of five regular polyhedra, each with congruent faces of regular polygons and the same number of faces meeting at each vertex.	3-Dimensional Figures
Video Definition 37--3D Geometry--Platonic Solids--Spanish Audio	Video Definition 37--3D Geometry--Platonic Solids--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 38--3D Geometry--Prism	Prism Topic 3D Geometry Definition A prism is a three-dimensional shape with two parallel, congruent bases and rectangular lateral faces. Description Prisms are important geometric shapes characterized by their two parallel, congruent bases and rectangular lateral faces. They are used in various fields, including architecture, engineering, and optics, to create structures and lenses. In mathematics, prisms are essential for understanding concepts of volume and surface area, with formulas like V = Base Area × Height	3-Dimensional Figures
Video Definition 38--3D Geometry--Prism--Spanish Audio	Video Definition 38--3D Geometry--Prism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 39--3D Geometry--Pyramid	Pyramid Topic 3D Geometry Definition A pyramid is a three-dimensional shape with a polygonal base and triangular faces that converge at a single point called the apex. Description Pyramids are significant geometric shapes characterized by their polygonal base and triangular faces that converge at an apex. They are used in various fields, including architecture, art, and archaeology, to create structures and monuments. In mathematics, pyramids are important for understanding concepts of volume and surface area, with formulas like V = 1/3 × Base Area × Height	Pyramids
Video Definition 39--3D Geometry--Pyramid--Spanish Audio	Video Definition 39--3D Geometry--Pyramid--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Pyramids
Video Definition 4--3D Geometry--Cavalieri's Principle	Cavalieri's Principle Topic 3D Geometry Definition Cavalieri's Principle states that two solids with equal heights and equal cross-sectional areas at every level have equal volumes.	3-Dimensional Figures
Video Definition 4--3D Geometry--Cavalieri's Principle--Spanish Audio	Video Definition 4--3D Geometry--Cavalieri's Principle--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 40--3D Geometry--Rectangular Prism	Rectangular Prism Topic 3D Geometry Definition A rectangular prism is a three-dimensional shape with six rectangular faces, twelve edges, and eight vertices. Description Rectangular prisms are fundamental geometric shapes characterized by their six rectangular faces, twelve edges, and eight vertices. They are used in various fields, including architecture, engineering, and packaging, to create structures and containers. In mathematics, rectangular prisms are essential for understanding concepts of volume and surface area, with formulas like V = l × w × h	Rectangular Prisms
Video Definition 40--3D Geometry--Rectangular Prism--Spanish Audio	Video Definition 40--3D Geometry--Rectangular Prism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Rectangular Prisms
Video Definition 41--3D Geometry--Slant Height	Slant Height Topic 3D Geometry Definition Slant height is the distance from the top of a cone or pyramid to the edge of its base, measured along its side.	3-Dimensional Figures
Video Definition 41--3D Geometry--Slant Height--Spanish Audio	Video Definition 41--3D Geometry--Slant Height--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 42--3D Geometry--Sphere	Sphere Topic 3D Geometry Definition A sphere is a perfectly round three-dimensional shape where every point on the surface is equidistant from the center. Description The sphere is a fundamental shape in geometry, characterized by its perfect symmetry and uniform curvature. It is widely used in fields like physics, astronomy, and engineering to model planets, atoms, and other spherical objects. In mathematics, spheres are important for understanding concepts of volume and surface area, with formulas like V = 4/3 πr3 for volume and A = 4πr2	Spheres
Video Definition 42--3D Geometry--Sphere--Spanish Audio	Video Definition 42--3D Geometry--Sphere--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Spheres
Video Definition 43--3D Geometry--Square Pyramid	Square Pyramid Topic 3D Geometry Definition A square pyramid is a three-dimensional shape with a square base and four triangular faces that converge at a single point called the apex. Description Square pyramids are significant geometric shapes characterized by their square base and triangular faces that converge at an apex. They are used in various fields, including architecture, art, and archaeology, to create structures and monuments. In mathematics, square pyramids are important for understanding concepts of volume and surface area, with formulas like V = 1/3 × Base Area × Height	Pyramids
Video Definition 43--3D Geometry--Square Pyramid--Spanish Audio	Video Definition 43--3D Geometry--Square Pyramid--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Pyramids
Video Definition 44--3D Geometry--Surface Area	Surface Area Topic 3D Geometry Definition Surface area is the total area covered by the surface of a three-dimensional object.	Surface Area
Video Definition 44--3D Geometry--Surface Area--Spanish Audio	Video Definition 44--3D Geometry--Surface Area--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Surface Area
Video Definition 45--3D Geometry--Tetrahedron	Tetrahedron Topic 3D Geometry Definition A tetrahedron is a three-dimensional shape with four triangular faces.	3-Dimensional Figures
Video Definition 45--3D Geometry--Tetrahedron--Spanish Audio	Video Definition 45--3D Geometry--Tetrahedron--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures
Video Definition 46--3D Geometry--Triangular Prism	Triangular Prism Topic 3D Geometry Definition A triangular prism is a three-dimensional shape with two parallel triangular bases and three rectangular faces. Description Triangular prisms are important geometric shapes characterized by their two parallel triangular bases and three rectangular lateral faces. They are used in various fields, including architecture, engineering, and optics, to create structures and lenses. In mathematics, triangular prisms are essential for understanding concepts of volume and surface area, with formulas like V = Base Area × Height	Triangular Prisms
Video Definition 46--3D Geometry--Triangular Prism--Spanish Audio	Video Definition 46--3D Geometry--Triangular Prism--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Triangular Prisms
Video Definition 47--3D Geometry--Triangular Pyramid	Triangular Pyramid Topic 3D Geometry Definition A triangular pyramid, also known as a tetrahedron, is a three-dimensional shape with a triangular base and three triangular faces that converge at a single point called the apex. Description Triangular pyramids, or tetrahedrons, are significant geometric shapes characterized by their triangular base and triangular faces that converge at an apex. They are used in various fields, including architecture, art, and molecular modeling, to create structures and models. In mathematics, triangular pyramids are important for understanding concepts of volume and surface area, with formulas like	Pyramids
Video Definition 47--3D Geometry--Triangular Pyramid--Spanish Audio	Video Definition 47--3D Geometry--Triangular Pyramid--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	Pyramids
Video Definition 48--3D Geometry--Vertex	Vertex Topic 3D Geometry Definition A vertex is a point where two or more edges meet in a geometric shape.	3-Dimensional Figures
Video Definition 48--3D Geometry--Vertex--Spanish Audio	Video Definition 48--3D Geometry--Vertex--Spanish Audio This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.	3-Dimensional Figures