A prism is a shape with a constant cross section, in other words the cross-section looks the same anywhere along the length of the solid (examples: cylinder, cuboid).
The volume of a prism = the area of the cross-section × 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).