The density of brass is 8 x 103 kg/m3. The volume occupied by 320 g of brass is
A. 0.040 cm^3
B. 4.0 cm^3
C. 40 cm^3
D. 400 cm^3
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The density of an object is defined as its mass divided by its volume. Therefore, we can find the volume of the brass by rearranging the formula to volume = mass/density.
First, we need to convert the mass from grams to kilograms because the density is given in kg/m^3. There are 1000 grams in a kilogram, so 320 g is 0.32 kg.
Then, we can substitute the values into the formula:
Volume = 0.32 kg / (8 x 10^3 kg/m^3) = 0.00004 m^3
However, the answer choices are given in cm^3, not m^3. There are 1,000,000 cm^3 in a m^3, so we need to convert the volume from m^3 to cm^3.
Volume = 0.00004 m^3 x 1,000,000 cm^3/m^3 = 40 cm^3
So, the volume occupied by 320 g of brass is 40 cm^3. The correct answer is C. 40 cm^3.
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