Platonic solids worksheet pdf

This quiz worksheet combo will help you test your understanding of the different types of platonic solids. To be a platonic solid, all of the polygon faces must be identical and the same number of faces must meet together at each vertex. A polygon is convex if the line connecting any two vertices remains inside or on the boundary of the polygon. N v2z0 g1g2 d wktu rt aap xs1o0flt gwea0r1en ulqlucp. This worksheet is in pdf format and holds a printable version of the quiz platonic solids. The first one is the tetrahedron representing the element of fire. There are five platonic solids that are defined by the fact that each one of their faces is a regular polygon, a polygon with equal angles and equal sides. A regular polyhedron is convex, with all of its faces congruent regular polygons, and with the same number of faces at each vertex. Pullup platonic solids construction of polyhedra by pulling strings. The third one is the hexahedron or cube, representing earth. This printable worksheet of platonic solids is tagged.

Displaying all worksheets related to platonic solids grade 7. The five platonic solids are shown on this page, along with their. This platonic solids lesson plan is suitable for 10th grade. An edge of a polyhedron is a line segment formed by the intersection of two faces. Complete the second row, about a cube, with students. Platonic solids lesson plan for 10th grade lesson planet. Platonic solid nets cut out the net below along the solid lines. Hexahedron cube a hexahedron is a polyhedron with six faces. However, in the pages below, just one net has been provided for the cube. A polygon is said to be regular if the edges are of equal length and meet at equal angles. In three dimensions the analog of the regular polygon is the regular polyhedron. Find the surface area of solids worksheets and solutions. Click on the tags below to find other worksheets in the same.

Some solids will be easier to build if they are printed on larger paper. Geometry worksheet nets of the platonic solids math drills. In euclidean geometry, a platonic solid is a regular, convex polyhedron whose faces are congruent, regular polygons, with the same number of faces meeting at each vertex. Vertex is the word mathematicians use for the corners or points. For example, a cube is a platonic solid because all six of its faces are congruent squares. The dodecahedron is one of the 5 platonic solids convex regular polyhedra. This promethean asks pupils to investigate eulers rule and platonic solids. There are five such solids tetrahedron, cube, octahedron, dodecahedron and icosahedron.

Platonic solids grade 7 displaying top 8 worksheets found for this concept some of the worksheets for this concept are surface area of solids, unit b combined grade 7 and 8 surface area of right prisms, unit 6 visualising solid shapesfinal, geometry lesson plans, 10 identifying solid figures, unit 10 visualizing geometric relationships, solids nets and cross. They are also called regular geometric solids or polyhedra and are 3d in shape. Students examine a tetrahedron, an octahedron, an icosahedron, a cube, and a dodecahedron. The regular polyhedra are called the platonic solids since they were. This site offers pdf files for easy cut and does any body remember the love dodecahedron from college. The platonic solids are named for the ancient greek philosopher plato. Solids, liquids, and gases 4 visual learning company18004538481. Welcome to the nets of the platonic solids math worksheet from the geometry worksheets page at. By printig out this quiz and taking it with pen and paper creates for a good variation to only playing it online.

Each of the platonic solids is made up of congruent regular polygons. Feb 28, 2020 students can build any of the five platonic solids using these paper cutouts. In this platonic solid worksheet, students observe five solids and draw a net of each threedimensional figure. All the faces of a platonic solid are regular polygons of the same size, and all the vertices look identical. Also included is an explanation sheet of how platonic shapes are classified and identified. In 3 dimensions, the most symmetrical polyhedra of all are the regular polyhedra, also known as the platonic solids. There are four problems where students must add, subtract, and multiply radica. Pdfs of each shape to print and create polyhedrons. In this geometry lesson, 10th graders investigate the five platonic solids.

The fourth one is the icosahedron representing water. Geometry worksheet nets of the platonic solids author. A polyhedron is regular if its faces are congruent regular polygons and the same number of faces meet at each vertex. Platonic solids grade 7 worksheets lesson worksheets. Platonic solids archimedean solids keplerpoinsot polyhedra other uniform polyhedra compounds dodecahedron cube and tetrahedron octahedron icosahedron cuboctahedron icosidodecahedron truncated tetrahedron truncated octahedron truncated cube truncated icosahedron soccer ball truncated dodecahedron rhombicuboctahedron truncated cuboctahedron. Each face of a platonic solid is the same regular sized polygon. Students predict the number of edges, verticess, and faces for each solid and predict the shape of the dual solid. The five platonic solids in 2020 3d shape, math art.

Questions tagged platonicsolids ask question a platonic solid is a regular, convex polyhedron with congruent faces of regular polygons and the same number of faces meeting at each vertex. A polyhedron is a solid that is bounded by polygons, calledfaces, that enclose a single region of space. Platonic solids can be made from equilateral triangles, squares, and. The five platonic solids a regular polygonis a plane. The key to working out whether a polygon can create a platonic solid, is in its interior angles.

Polyhedron, tetrahedron, cube, octahedron, dodecahedron, icosahedron. Print them on a piece of card, cut them out, tape the edges, and you will have your own platonic solids. Hand out the platonic solids patterns worksheet and models. Click on popout icon or print icon to worksheet to print or download. Nets for making 3d solids a net is a two dimensional plan or shape that can be folded to make a three dimensional solid. Nets templates and pictures of the paper dodecahedron.

This geometry worksheet may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math. A platonic solid has the property that each face is an identical convex regular polygon, and that the same number of polygons meets at each corner. Then, fold along the dashed lines and tape to create your own regular tetrahedron. The five platonic solids regular polyhedra are the tetrahedron, cube, octahedron, icosahedron, and dodecahedron. Geometry a site that has every shape imaginable as a pdf so your kids can print. Platonic solid nets cut out the net below along the solid. For some solids, such as the cube, there are many different nets. It includes a viseo of how a group of pupils can work together to make an icosatetrahedron. Why so you can analyze the frame of a house, as in example 2. Platonic solid, any of the five geometric solids whose faces are all identical, regular polygons meeting at the same threedimensional angles. Solid shapes worksheets solid net and shapes math games, math.

The name of each shape is derived from the number of its faces 4 tetrahedron, 6. The platonic solids california state university, northridge. You should build these in groups of 2, but each person should complete a worksheet. Platonic solids a brief introduction a polygon is a twodimensional shape bounded by straight line segments. Regular convex polyhedron has regular polygon faces with the same number of faces meeting at each vertex. The regular polyhedra are called the platonic solids since they were discovered by plato and the ancient greeks. Worksheets are eulers formula platonic solids, net of a tetrahedron, platonic solids, paper models of polyhedra, platonic solids how they really, geometry lesson plans, solids nets and cross sections, 10 identifying solid figures. In exercises 58, find the surface area of the solid that can be created from the net. There are only five solids that can be called platonic solids the tetrahedron, the hexahedron or cube, the octahedron, the dodecahedron and the icosahedron. Now that students understand the terms faces, edges, vertices, nets, and platonic solids, hand out the platonic solids patterns worksheet. Platonic solids there are five special polyhedra which are known as the platonic solids. The platonic solids are a type of polyhedron and are made up of polygons. Surface area of solids worksheet 2 surface area of solids worksheet 3 surface area of solids worksheet 4 surface area of solids worksheet 5 objective. Also known as the five regular polyhedra, they consist of the tetrahedron or pyramid, cube, octahedron, dodecahedron, and icosahedron.

Worksheets are surface area of solids, unit b combined grade 7 and 8 surface area of right prisms, unit 6 visualising solid shapesfinal, geometry lesson plans, 10 identifying solid figures, unit 10 visualizing geometric relationships, solids nets and cross sections, natural sciences exemplars of lesson. Each triangle is equilateral with sides 5 centimeters and height 4. We also demands that our platonic solids be convex. All five platonic solids are made from three different regular polygons. Then, fold along the dashed lines and tape to create your own cube. It is composed of six square faces that meet each other at right angles and has eight vertices and 12 edges. Eulers theorem and platonic solids in this lesson, students will learn about the properties of platonic solids and eulers theorem. Platonic solids worksheet pdf platonic solids worksheet pdf download. A platonic solid is a threedimensional shape whose sides are all the same shape and whose corners are the meeting place for the same number of polygons. The five platonic solids are listed and illustrated below. For each solid we have two printable nets with and without tabs.