A box with no top has a height that is six times its length and a width that is $\frac{2}{3}$ of its height. If the surface area is $576 {\mathrm{cm}}^2$, find the dimensions of the box.

When milk freezes, its volume increases by one-fifteenth. Find the fraction by which its volume will decrease when it melts back into a liquid state.

It takes Nathan twice as long mow the lawn with the pushmower than with the electric mower. One day, he used the electric mower for $30$ minutes. Then it broke down. He took $20$ minutes the lawn with the pushmower finish mowing. Find how long it takes Nathan to mow the whole lawn using only the electric mower. 

The surface area of a cube-shaped box without a top is $252 {\mathrm{cm}}^2$. Find the volume of the box.

Some of these problems have too much information and some do not have enough. For each problem, state which information is irrelevant, and write down which information is missing in order for you to solve it. Josip just bought a lightweight cylindrical water bottle where the radius of the bottle is half of its height.  When full, it weighs $450$ grams and holds a volume of $770 {\mathrm{cm}}^3$. Find the dimensions of the water bottle.