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).

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