A prism is a polyhedron with two parallel, congruent faces called bases that are polygons.

The volume of a 3-dimensional solid is the amount of space it occupies. Volume units are in units cubed (in^{3}, ft^{3}, cm^{3}, m^{3}, et cetera). Be sure that all of the measurements are in the same units before computing the volume.

The volume *V * of a prism is the area of the base *B * times the height *h*.

**Note:** A cubic centimeter (cm^{3}) is a cube whose edges measure 1 centimeter.

**Example:**

Find the volume of the prism shown.

**Solution **

The formula for the volume of a prism is *V * = *Bh*, where *B * is the base area and *h * is the height.

The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

The area *A * of a rectangle with length *l * and width *w * is *A * = *lw*.

So, the base area is 9 × 7 or 63 cm^{2}.

The height of the prism is 13 cm.

Substitute 63 for *B * and 13 for *h * in *V * = *Bh*.

*V * = (63)(13)

Multiply.

*V * = 819

Therefore, the volume of the prism is 819 cubic centimeters.