NUMBAT OER - Open Educational Resources

3.3 Other objects

Shape Area Volume
(a prism with a circular cross-section and parallel long sides)

2 πr (h + r)

(see note below)

h πr2

(see note below)

(a 3-D object with a circular base and sides that taper to a point or vertex above the centre of the base)
πr (s + r) h πr2 /3
(a 3-D object with a base – here a square – and triangular sides that meet at the vertex above the centre of the base)
x (2s + x) h x2 /3

Note: for any prism, the surface area is given by (the perimeter of the end times the length plus the areas of both ends), and the volume is the length times the area of the end.