# Volume of prisms

A prism is a solid with a uniform . 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:

## Volume of a cylinder

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.