Lesson 21.1: Volume of Prisms and Cylinders The volume of a solid is the number of cubic units worth of space contained inside the solid. Volume is measured in cubic units, such as cm3.

Prisms All prisms have two congruent and parallel faces, called bases, for which it is named. All other faces of a prism are parallelograms called lateral faces. The segments connecting the vertices are called lateral edges.

The height of a prism is the perpendicular distance between its bases. In a right prism, each lateral edge is perpendicular to both bases. Therefore, a lateral edge is the height in a right prism. A prism with lateral edges that are not perpendicular to the bases is an oblique prism.

Cylinders

The Volume of any right prism or right cylinder can be found by multiplying the area of its base by its height. V = Bh

Example 1

Example 2 Solution –

Example 3

Try This! Hint: Volume of solid shown is volume of triangular prism minus volume of square prism.