Math Snap

STEP 1

Assumptions1. Scott's blood volume is $8.1 \mathrm{qt}$
. The density of blood is $1.22 \mathrm{~g} / \mathrm{m}$
3.1 quart $=946$ milliliters

STEP 2

First, we need to convert the volume of Scott's blood from quarts to milliliters using the conversion factor.$$Volume_{m} = Volume_{qt} \\times Conversion\, factor$$

STEP 3

Now, plug in the given values for the volume in quarts and the conversion factor to calculate the volume in milliliters.
$$Volume_{m} =8.1 \mathrm{qt} \\times946 \mathrm{m/qt}$$

STEP 4

Calculate the volume in milliliters.
$$Volume_{m} =8.1 \mathrm{qt} \\times946 \mathrm{m/qt} =7662.6 \mathrm{m}$$

STEP 5

Now that we have the volume in milliliters, we can find the mass of Scott's blood. We can do this by multiplying the volume by the density of blood.
$$Mass = Volume_{m} \\times Density$$

STEP 6

Plug in the values for the volume in milliliters and the density to calculate the mass.
$$Mass =7662.6 \mathrm{m} \\times1.22 \mathrm{~g/mL}$$

Calculate the mass of Scott's blood.
$$Mass =7662.6 \mathrm{m} \\times1.22 \mathrm{~g/mL} =934.372 \mathrm{g}$$The mass of Scott's blood is934.372 grams.