Solve.
-The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a cubical container 3 cm on a
Side.
A)9 g
B)81 g
C)27 g
D)12 g

Question

Quizplus · Accepted Answer

The weight of a liquid varies directly with its volume, which means weight = k * volume, where k is a constant. The volume of a cube is given by side^3. For the first cube, volume = 5^3 = 125 cm^3, and its weight is 375 g, so k = 375 / 125 = 3 g/cm^3. For the second cube with a side of 3 cm, volume = 3^3 = 27 cm^3. Therefore, its weight = 3 * 27 = 81 g.

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