Three Dimensional Figures
A solid is a three-dimensional figure that encloses a space. A polyhedron is a solid
whose faces are all polygons.
Prisms
A prism is a polyhedron that has two parallel, identical bases. The lateral faces are
parallelograms.
Pyramids
A pyramid is a polyhedron that has one base. The lateral faces are triangles. In
pyramids, the triangles meet at one point, which is called the apex.
Lateral facesall the side
faces except
the base.
Base of a prism
- two faces that
are congruent
and parallel
(identical ends)
Net
A net is a 2-dimensional representation/pattern of a 3-dimensional figure. A net is a flat
figure that could be folded to create the 3-dimensional figure.
Surface Area
The surface area of a solid is the sum of the areas of all of its faces. You can use a
two-dimensional representation of a solid, called a net, to find the surface area of the
solid. Surface area is measured in square units.
Net of a rectangular Prism
A rectangular prism is a prism with rectangular bases.
Net of a Triangular Prism
A triangular prism is a prism with triangular bases.
Net of a Cube
When all the edges of a rectangular prism have the same length s, the rectangular
prism is a cube. The net of a cube shows that each of the 6 identical square faces has
an area of 𝑠 2 . So, a formula for the surface area of a cube is
S=6𝑠 2 .