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There are roughly 5.5 million red blood cells per cubic millimeter of blood. What is the total number of red cells in the body if the typical human body has 5 liters of blood?

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2.75 × 1010

2.75 × 1011

2.75 × 1012

2.75 × 1013

answer is D.

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Detailed Solution

It is given that there are roughly 5.5 million red blood cells per cubic millimeter of blood.
The average body contains 5 L of blood.
We know that,

1 L = 1000000 mm 3

Therefore 5L Red blood cells =

5 × 1000000 mm 3 .

There are 5.5 million red blood cells per cubic millimeter of blood.
Therefore the number of red blood cells =

5.5 × 1000000 × 5 × 1000000 .

= 27.5 × 106 × 106

Apply the law of exponent

a m × a n = a m + n .

Thus, the number of red blood cells

= 27.5 × 1012 = 2.75 × 10 × 1012 = 2.75 × 1013

Therefore the total number of red cells in the body if the typical human body has 5 liters of blood

2.75 × 1013

Hence option (4) is correct.

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