3-dimensional solids have faces, edges and vertices. Volume is the space contained within a 3D solid. Surface area is the sum of the area of each face. 3D solids can be viewed from different points.
The formula for the volumeThe volume of a three-dimensional shape is a measure of the amount of space or capacity it occupies, eg an average can of fizzy drink has a volume of 330 ml. of a sphere is:
\(\text{volume of a sphere} = \frac{4}{3} \pi r^3\)
The surface area of a sphere can be calculated using the formula:
\(\text{surface area of a sphere} = 4 \pi r^2\)
Example
Calculate the volume and surface area of a football with a radius of 12 cm to 1 decimal place.