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 4 cm on a side.
A)64 g
B)192 g
C)12 g
D)44 g

Question

Quizplus · Accepted Answer

The weight of the liquid varies directly with its volume. The volume of a cube is given by V = side^3. For the 5 cm cube, V = 5^3 = 125 cm^3 and weight = 375 g. For the 4 cm cube, V = 4^3 = 64 cm^3. Using the direct variation, (375 g / 125 cm^3) = (W / 64 cm^3), solving for W gives W = 192 g.

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