SOLUTION: A rectangular tank with a square base initially contained 2.6 liters of water. A cube of edges 15 centimeters was full of water. The water from the cubic container was poured into

Question 1092500: A rectangular tank with a square base initially contained 2.6 liters of water. A cube of edges 15 centimeters was full of water. The water from the cubic container was poured into the tank until it was completely filled. There were 95 cubic centimeters of water left in the cube. (1 L = 1,000 cm3)
A. If the height of the rectangular tank is 30 centimeters, find the length and its base.

B. Water from the tank was then drained out at a rate of 0.49 liter per minute. Find the time taken to empty the tank.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The volume of the cube was 15^3 cm^3=3375 cm^3.
all but 95 cm are in the rectangular tank, or 3280 cm^3.
there were originally 2.6 liters of water in the rectangular tank or 2600 cm^3. Now there are 5880 cm^3 in the tank, which is full.
the volume of a rectangular tank with a square base, side x of the base and height h is x^2*h; h=30cm
Therefore, x^2*30=5880 cm^2
x^2=5880/30=196 cm^2
x=14 cm
(height is asked for but it was given as 30 cm).
At 0.49 liter or 490 cm per minute, it will take 12 minutes (5880/490) to drain the tank.
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