Volume

• Print

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).