Question

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 3 cm on a side.

Answer 1

weight varies directly as volume ---> w = kv, where k is a constant we'll solve for

weight is 128g when the liquid occupies a cube w/ sides 4cm

the volume of a cube is s^3 where (s) is the side length, so the volume of a cube w/ sides 4cm is (4)^3 cm^3

plug in volume and weight to solve for k

once you have k, you can go back to w = kv, plug in the volume of a cube w/ sides 3cm, and evaluate w.