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 128 g, find the weight of the liquid in a cubical container 5 cm on a side.
A)105 g
B)10 g
C)250 g
D)125 g

Question

Quizplus · Accepted Answer

The weight of the liquid varies directly with its volume. The volume of a cube is given by side^3. The volume of the first cube is 4^3 = 64 cm^3, and the weight is 128 g. The volume of the second cube is 5^3 = 125 cm^3. Using the direct variation formula (weight1/volume1 = weight2/volume2), we have 128/64 = weight2/125. Solving for weight2 gives 250 g.

The Weight of a Liquid Varies Directly as Its Volume