Substance A has a density of 3 g/cm³ and substance B has a density of 4 g/cm³. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of B? A) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 1 } { 3 }$ B) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 4 } { 3 }$ C) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 3 } { 4 }$ D) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\sqrt { \frac { 3 } { 4 } }$ E) $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$ = $\frac { 3 } { 1 }$

Question

Quizplus · Accepted Answer

To have equal masses, the product of density and volume must be equal for both substances. Thus, $3 \times V_A = 4 \times V_B$. Solving for the ratio gives $\frac{V_A}{V_B} = \frac{4}{3}$.

Substance a Has a Density of 3 G/cm3 and Substance VAVB\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }VB​VA​​

Substance a Has a Density of 3 G/cm³ and Substance $\frac { V _ { \mathrm { A } } } { V _ { \mathrm { B } } }$