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.

## 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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