First convert the inches cubed to centimeters cubed. Looking at the rate, we can write 2 inches cubed = 2 * 16.39 cm cubed = 32.78 cm cubed.
The equation for density is D = M/V, where D is the density, M is the mass, and V is the volume. Substitute the values into the equation:
0.242 = M/32.78
Multiply by 32.78 on both sides.
The mass is about 7.93 grams.
Explanation:
As density is defined as the mass of a substance divided by its volume.
Mathematically, Density = [tex]\frac{mass}{volume}[/tex]
It is given that volume is 2 [tex]in^{3}[/tex] or 32.774 [tex]cm^{3}[/tex] (as 1 [tex]in^{3}[/tex] = 16.39 [tex]cm^{3}[/tex]). Density is given as 0.242 [tex]g/cm^{3}[/tex].
Hence, calculate the mass of marshmallow as follows.
Density = [tex]\frac{mass}{volume}[/tex]
0.242 [tex]g/cm^{3}[/tex] = [tex]\frac{mass}{32.774 cm^{3}}[/tex]
mass = 7.93 g
Thus, we can conclude that mass of given marshmallow is 7.93 g.
