VOLUME OF A BOX, CUBE, OR CYLINDER
The concept of volume holds great practical importance. If you dig a hole that you need filled
with concrete, you need to know its volume to find out how much concrete to buy. Volume is
typically measured in cubic units. The easiest way to think about volume is to try to imagine
how much liquid you would need to pour into a geometric figure to fill it.
The first type of solid for which we will calculate volume is a box or cube (also sometimes
called a rectangular solid or a rectangular prism). In general, the formula used to find the
volume of a rectangular solid is given by
V l w!! !h
where l = the length
w = the width, and
h = the height of the figure
h
w
l
Find the volume of each figure.
Example 1 Solution:
13 6 8V
!
! !
624V
!
cubic feet (ft3)
Example 2 Solution:
"
#
"
#
"
#
5.2 4.9 6.3V
!
160.524V
!
cm3
13
f
eet
8
f
eet
6 feet
5.2 cm
6.3 cm
4.9 cm
