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.