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\times;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.