Chemistry Reference
In-Depth Information
1 m
1 m
10 cm
10 cm
10 cm
1 m
1 m = 100 cm
1 m = 100 cm
1 m = 100 cm
(a)
(b)
Figure 2.7
Cubic Meter and Liter
(a) The man in the cubic meter box is holding two objects, each of which is 1 L in volume. Note the difference in size between
1 L and 1 (b) A cubic meter has edges that are 1 m
100 cm long. Thus the 1 cube is in
volume. Ten boxes with 10-cm edges fit along each such edge. Ten rows of those 10-cm boxes would fit in a layer covering the
whole top surface of the cubic meter, and ten layers would fill the whole volume. There is 1000 liters in a cubic meter.
m
3
.
m
3
(100 cm)
3
1,000,000 cm
3
volume (about half the capacity of a small cement truck), the liter is favored by
chemists (Figure 2.7).
(10 cm)
3
1000 cm
3
1.00 L
1000
mL
Thus,
1.00 cm
3
1.00 mL
1.000 m
3
and
1000 L
EXAMPLE 2.31
(a)
How many 1-L cubes fit along the top front edge of the cubic meter
pictured in Figure 2.7?
(b)
How many fit on the front face?
(c)
How many such vertical layers are in the entire cube?
How many liters are in 1 m
3
?
(d)
Solution
(a)
Ten 1-L cubes fit along the edge.
(b)
One hundred
(10
10)
1-L cubes fit in the 10 rows on the front face.
(c)
There are 10 layers from front to back.
1 m
3
.
(d)
One thousand
(10
10
10)
1-L cubes fit into
Thus,
1 m
3
1000 L
1 kL
Practice Problem 2.31
How many cubic centimeters are in 1 L?
