Exploring 3D Shapes and Their Attributes

*Front:* Edge

• where two faces meet

• a sharp point

• a flat surface

• a solid shape

Volume of Rectangular Prism

• @@l imes w imes h@@

• @@l + w + h@@

• @@rac{l imes w}{h}@@

• @@l^2 + w^2 + h^2@@

*Front:* Cone

• circular base, 1 vertex

• triangular base, 3 vertices

• square base, 4 vertices

• rectangular base, 2 vertices

Tetrahedron

• triangular faces

• square faces

• circular faces

• rectangular faces

*Front:* Cylinder

• circular bases, 1 curved surface

• triangular bases, 2 curved surfaces

• rectangular bases, 1 flat surface

• hexagonal bases, 3 curved surfaces

*Front:* Pyramid

• can be any polygon, triangular faces

• is always a square base

• has no faces

• is a type of cylinder

Volume of Sphere

• @@rac{4}{3} imes rac{22}{7} r^3@@

• @@rac{4}{3} imes rac{3.14}{1} r^3@@

• @@rac{4}{3} imes rac{1}{3} r^3@@

• @@rac{4}{3} imes rac{1}{2} r^3@@

Volume of Cylinder

• @@rac{1}{3} imes ext{Base Area} imes ext{Height}@@

• @@rac{4}{3} imes ext{Base Area} imes ext{Height}@@

• @@ ext{Base Area} imes ext{Height}@@

• @@ ext{Base Area} imes ext{Height} = ext{Area}@@

What is a cube?

• A shape with equal square faces

• A shape with three equal sides

• A shape with circular faces

• A shape with no equal sides

What is a Rectangular Prism?

• rectangular faces

• circular faces

• triangular faces

• hexagonal faces