An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides the same height as the square sides but twice their length. The total area of the five sides is 2,048 in^2. Find the volume of the aquarium. Complete the explanation of your reasoning.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

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if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.