Solve the variation problem.
-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 grams, find the weight of the liquid in a cubical container 3 cm on a side.
A)27 grams
B)15 grams
C)81 grams
D)9 grams

Question

Quizplus · Accepted Answer

The weight of a liquid varies directly with its volume, which means weight = k * volume, where k is a constant. For a cube, volume = side^3. For the first cube, volume = 4^3 = 64 cm^3, and its weight is 192 grams, so k = 192 / 64 = 3 grams/cm^3. For the second cube, volume = 3^3 = 27 cm^3. Thus, the weight of the liquid = 3 * 27 = 81 grams.

Solve the Variation Problem