Choose the one alternative that best completes the statement or answers the question.
-The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container $5 \mathrm{~cm}$ on a side is $250 \mathrm{~g}$, find the weight of the liquid in a cubical container $3 \mathrm{~cm}$ on a side.
A) $6 \mathrm{~g}$
B) $27 \mathrm{~g}$
C) $12 \mathrm{~g}$
D) $54 \mathrm{~g}$

Question

Quizplus · Accepted Answer

The weight of the liquid varies directly with its volume. The volume of a cube is given by $V = \text{side}^3$. For the $5 \mathrm{~cm}$ cube, $V = 5^3 = 125 \mathrm{~cm}^3$ and the weight is $250 \mathrm{~g}$. For the $3 \mathrm{~cm}$ cube, $V = 3^3 = 27 \mathrm{~cm}^3$. Using the direct variation, $\frac{250}{125} = \frac{W}{27}$, solving for $W$ gives $W = 54 \mathrm{~g}$.

Choose the One Alternative That Best Completes the Statement or Answers