Solve the problem. Round your answer to two decimal places.
-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) 12 g
B) 9 g
C) 81 g
D) 27 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 the weight is 375 g. The weight per cm^3 is 375 g / 125 cm^3 = 3 g/cm^3. For the 3 cm cube, V = 3^3 = 27 cm^3. Therefore, the weight is 27 cm^3 * 3 g/cm^3 = 81 g.

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