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# ACMGM019

## 1.3 Surface Area and Volume of Composite Shapes

Note: if you cannot remember the formulas for the surface area and volume of common shapes, revise notes for 1.1 Surface Area of Common Shapes and 1.2 Volume of Common Shapes.

### Guide to Finding the Surface Area of a Composite Shape

• Composite shapes are shapes that are created by merging multiple simple shapes.
• Due to the large amount of combinations possible, it is not possible to derive formulas for each.
• To find the surface area of a composite shape, you need to first identify the simple shapes it is made up of. The surface area of the composite shape is equal to the sum of each shape, minus the surface area which has been removed to merge it into the shape:
Read More »1.3 Surface Area and Volume of Composite Shapes

## 1.2 Volume of Common Shapes

Note: volume is measured in units cubed (e.g. m^3, cm^3, mm^3, etc.).

### Volume of a Sphere

• The volume of a sphere is found using the formula:

V=\frac{4}{3} \pi r^{3}