The density of silver is 65.2g/cm3. if the volume of a piece of silver is 21.4cm3, what will the mass be in grams

mass - 1395.28 g

Step-by-step explanation:

density = mass / volume

65.2 g/cm^3 = mass / 21.4 cm^3

65.2 g * 21.4 = mass (cm^3 cancels out)

1395.28 g = mass

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

if you was gonna solve for a, a is a   < -12