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. which of the following could be the length, in inches, of a side of the larger aquarium?
(a) 6.9
(b) 8.4
(c) 9.5

 (B) 8.4

Step-by-step explanation:

Given : Dimension of each cube = 5 inches

Then, volume of each cube =

Then, volume of 3 such cubes =

Let x be the dimension of larger cube , then its volume =

Now, by considering the given question, we have

Taking cube-root on both sides , we get

The most nearest value from the options less than 9.086 is 8.4.

Hence, the the length of a side of the larger aquarium could be 8.4 inches.

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step-by-step explanation: