GCSE Maths Notes: Volume
A prism is a shape with a constant cross section, in other words the crosssection looks the same anywhere along the length of the solid (examples: cylinder, cuboid).
The volume of a prism = the area of the crosssection × the length. So, for example, the volume of a cylinder
area of a triangle = half * base * height so the volume of a triangular prism is half*base*height*length
area of a circle(is the radius of the circle) so volume
area of a parallelogram = base × height so volume =base*height*length as for a rectangle
area of a trapezium = half × (sum of the parallel sides) × the distance between them [] so volume of a trapezoidal prism is


There are some shapes that must have their own formula for volume since cross section of a sphere for example, doesn't make much sense.
Sphere: Volume:
Pyramid:
Volume = 1/3 × area of base × perpendicular height (for
a cone).