The volume of a -dimensional solid is the amount of space it occupies. Volume is measured in cubic units (, et cetera). Be sure that all of the measurements are in the same unit before computing the volume.
The volume of a prism is the area of the base times the height .
Note: A cubic centimeter () is a cube whose edges measure centimeter.
Find the volume of the prism shown.
The formula for the volume of a prism is , where is the base area and is the height.
The base of the prism is a rectangle. The length of the rectangle is cm and the width is cm.
The area of a rectangle with length and width is .
So, the base area is or .
The height of the prism is cm.
Substitute for and for in .
Therefore, the volume of the prism is cubic centimeters.