Solve the problem. Round as appropriate.
-The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 3 cm on a side is 81 g, find the weight of the liquid in a cubical container 4 cm on a side.
A) 192 g
B) 64 g
C) 12 g
D) 52 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 cube with a side of 3 cm, the volume is $3^3 = 27$ cm$^3$, and its weight is 81 g. This gives a ratio of weight to volume as $81g / 27cm^3 = 3g/cm^3$. For the second cube with a side of 4 cm, the volume is $4^3 = 64$ cm$^3$. Therefore, its weight is $64cm^3 * 3g/cm^3 = 192g$.

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