Question

Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing

Answer 1

Step-by-step explanation:

Volume of Three Aquarium = 3 x 125 =375

Now the New Aquarium should be filled at least 50% from this. This means that the new Aquarium should have a maximum volume of 750 (375 x 2) and a minimum volume of 375 to avoid overflowing.

Let's say the side of the new Aquarium is x then  

375 < x³ < 750

~7.3 < x³ < ~9.2

Thus, the length of a side of the aquarium lies between 7.3 to 9.2 inches.