Mathematics » Math Models and Geometry I » Solve Geometry Applications: Volume and Surface Area

Summary of Geometry Formulas and Key Concepts

Summary of Geometry Formulas

The following charts summarize all of the formulas covered in this tutorial.

Summary of Geometry Formulas and Key ConceptsSummary of Geometry Formulas and Key Concepts

Key Concepts

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

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.

 

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