Solve.
-The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 4 cm on a side is 192 g, find the weight of the liquid in a cubical container 3 cm on a side.
A) 81 g
B) 15 g
C) 27 g
D) 9 g

Question

Quizplus · Accepted Answer

The weight of the liquid is directly proportional to its volume. The volume of a cube is given by $V = s^3$, where $s$ is the side length. For the first container, $V_1 = 4^3 = 64$ cm$^3$, and the weight is 192 g, establishing a ratio of weight to volume as $192g / 64cm^3 = 3g/cm^3$. For the second container, $V_2 = 3^3 = 27$ cm$^3$. Thus, the weight of the liquid in the second container is $27cm^3 * 3g/cm^3 = 81g$.

Solve. -The Weight of a Liquid Varies Directly as Its Volume