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These five drawings represent polyhedra.
The next four drawings do not represent polyhedra.
Your teacher will give you some figures or objects. Sort them into polyhedra and non-polyhedra.
Here are some polyhedra called pyramids.
Which of these nets can be folded into Pyramid P? Select all that apply.
Three figures labeled net 1, net 2, and net 3. Net 1 has four small triangles arranged horizontally to create a parallelogram, net two has four small triangles arranged to make a larger triangle, and net 3 has four small triangles which all meet at their vertices.
Your teacher will give your group some polygons and assign a polyhedron.
Arrange the cut-outs into a net that, if taped and folded, can be assembled into the polyhedron. Sketch the net. If possible, show a different net for the same polyhedron.
Name the polyhedron that each net would form when assembled.
Three nets on a grid, labeled A, B, and C. Net A is composed of two rectangles that are 5 units tall by 6 units wide, two that are 5 units high and one unit wide, and two that are one unit high and six units wide. Net B is a square with a side length of 4 units and is surrounded by triangles that are four units wide at the base and four units high. Net C is a square with a side length of 3, a rectangle 3 units wide and 5 units high, another rectangle that is 3 units wide and 4 units tall, and two triangles, one on either side, that are three units tall by four units across.
Your teacher will give you the nets of three polyhedra. Cut out the nets and assemble the three-dimensional shapes.
A polyhedron is a three-dimensional figure composed of faces. Each face is a polygon and meets only one other face along a complete edge. The ends of the edges meet at points that are called vertices.
A polyhedron always encloses a three-dimensional region. The plural of “polyhedron” is “polyhedra.”
A prism is a type of polyhedron with two identical faces that are parallel to each other and that are called bases. The bases are connected by a set of rectangles (or sometimes parallelograms that aren’t rectangles).
A prism is named for the shape of its bases. For example, if the base is a pentagon, then it is called a “pentagonal prism.”
A pyramid is a type of polyhedron that has one special face called the base. All of the other faces are triangles that all meet at a single vertex.
A pyramid is named for the shape of its base. For example, if the base is a pentagon, then it is called a “pentagonal pyramid.”
A net is a two-dimensional representation of a polyhedron. It is composed of polygons that form the faces of a polyhedron.
A net of a pyramid has one polygon that is the base. The rest of the polygons are triangles. A pentagonal pyramid and its net are shown here.
A net of a prism has two copies of the polygon that is the base. The rest of the polygons are rectangles. A pentagonal prism and its net are shown here.
Because a net shows all the faces of a polyhedron, we can use it to find its surface area.
A base is a specific face of a prism or pyramid.
A prism has 2 identical bases that are parallel. A pyramid has 1 base.
A prism or pyramid is named for the shape of its base.
A net is a two-dimensional figure that can be folded to make a three-dimensional figure.
Here is a net for a cube.
A polyhedron is a closed, three-dimensional shape with flat sides. When there is more than one polyhedron, they are called polyhedra.
Here are some drawings of polyhedra.
A prism is a type of polyhedron with 2 bases that are identical and parallel. The bases are connected by parallelograms.
Here are some drawings of prisms.
A pyramid is a type of polyhedron that has 1 base. All the other faces are triangles that meet at a single vertex.
Here are some drawings of pyramids.