SAT Question 61f61789: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

32$.Thevolumeofacubeisgivenbytheformula$V = s^{3}$,where$s$isthelengthofanedgeofthecube.It’sgiventhateachedgeofthecubehasalengthof＄2.00$ centimeters. Substituting ＄2.00$centimetersfor$s$intheformula$V = s^{3}$yields$V = ( 2.00 \text{centimeters} )^{3}$,or$V = 8.00$cubiccentimeters.It’sgiventhatthecubehasamassof＄2.56$ grams. Dividing the mass, in grams, of the cube by the volume, in cubic centimeters, of the cube gives its density, in grams per cubic centimeters. Therefore, the density of the cube is $\frac{2.56\text{grams}}{8.00\text{cubic centimeters}}$, or $.32$ grams per cubic centimeter. Note that 8/25, .32, .320, and 0.32 are examples of ways to enter a correct answer.