A prism is a solid with a uniform cross-section. This means that no matter where it is sliced along its length, the cross section is the same size and shape (congruent).

A well-known example of a prism is a cylinder and you can see from the image above that the front face (cross-section) is the same size of circle no matter where you slice it.

- Question
Calculate the volume of the prism.

- Question
Calculate the volume of the prism.

This shape is a triangular prism so the area of the cross-section is the area of a triangle.

*Area of the triangle:**Volume of the prism:*

The formula for the volume of a cylinder (circular prism) is derived from the volume of a prism, where is the radius and is the height/length.

Since the area of a circle , then the formula for the volume of a cylinder is:

- Question
Calculate the volume of the cylinder shown.

Give your answer correct to 1 significant figure.