An average adult has 5.2 L of blood. What is the volume of blood in m3 ?
Answers
Explanation:
The problem can be stated as
? m3 = 5.2 L
How many conversion factors are needed for this problem?
Recall that 1 L = 1000 cm3 and 1 cm = 1 × 10−2 m.
Example 1.7
Solution We need two conversion factors here: one to convert
liters to cm3 and one to convert centimeters to meters:
1000 cm³. 1×10^-2m
_______. and. _________
1L. 1cm
Because the second conversion factor deals with length
(cm and m) and we want volume here, it must therefore be
cubed to give
1×10^-2m. 1×10^-2m. 1×10^-2m. {1×10^-2m}³
________. × _________ ×. ________ = ________
1cm. 1cm. 1cm. 1cm
This means that 1 cm3 = 1 × 10−6 m3
Now we can write
m³ =5.2 L × 1000cm³. × {1×10^-2m}³
_____. _________ = 5.2 × 10^-3 m³
Check From the preceding conversion factors you can show
that 1 L = 1 × 10−3 m3
. Therefore, 5 L of blood would be equal
to 5 × 10−3 m3
, which is close to the answer.
1 L. 1cm
Given - Blood in average adult = 5.2 litre
Find - Volume of blood in cubic metre.
Solution - As per the fact, 1 litre is equal to 0.001 cubic metre.
Thus, using unitary method to find out volume of blood in cubic metre.
Keeping the values, we get -
Volume of 5.2 litre in cubic metre = 0.001*5.2
Volume in cubic metre = 0.0052 m³.
Hence, volume of blood in cubic metre is 0.0052.