Key Concepts

• Volume and Surface Area of a Rectangular Solid
  • [latex]V=LWH[/latex]
  • [latex]S=2LH+2LW+2WH[/latex]
• Volume and Surface Area of a Cube
  • [latex]V={s}^{3}[/latex]
  • [latex]S=6{s}^{2}[/latex]
• Volume and Surface Area of a Sphere
  • [latex]V=\Large\frac{4}{3}\normalsize\pi {r}^{3}[/latex]
  • [latex]S=4\pi {r}^{2}[/latex]
• Volume and Surface Area of a Cylinder
  • [latex]V=\pi {r}^{2}h[/latex]
  • [latex]S=2\pi {r}^{2}+2\pi rh[/latex]
• Volume of a Cone
  • For a cone with radius [latex]r[/latex] and height [latex]h[/latex] :Volume: [latex]V=\Large\frac{1}{3}\normalsize\pi {r}^{2}h[/latex]

Glossary

cone

A cone is a solid figure with one circular base and a vertex.

cube

A cube is a rectangular solid whose length, width, and height are equal.

cylinder

A cylinder is a solid figure with two parallel circles of the same size at the top and bottom.