Summary: Solving Problems Using Volume and Surface Area
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.
Summary of Geometry Formulas
The following charts summarize all of the formulas covered in this chapter.Contribute!
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