##### Surface Areas and Volumes – Notes

**Surface Areas and Volumes of Combinations of Solids**

Complex solid shapes are composed of fundamental solid shapes.

By summing the surface areas of the simpler shapes that compose a complex shape, you can calculate a area of a complex shape.

By summing the volumes of the simpler shapes that compose a complex shape, you can calculate the volume of a complex shape.

For solving the problems involving the areas and volumes of complex shapes, you need to remember the standard formulae used for simple shapes.

**Conversion of Solid from One Shape to Another **** **

Problems is converting solids from one shape to another are solved by equating volumes.

Problems are solved by evaluating a variable in the equality of volumes equation. The variable to be determined is either a available number of objects of the converted solid, or it is some dimension of the converted sold.