Volume of a Prism

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 (in3, ft3, cm3, m3, 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 (cm3) is a cube whose edges measure 1 centimeter.


Find the volume of the prism shown.


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 cm2.

The height of the prism is 13 cm.

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

V = (63)(13)


V = 819

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