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 1091523: 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 of 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 of its base.
Find the amt of water in the cube: = 3375 cu/cm
Find how much was poured in the tank: 3375 - 95 = 3280 cu/cm
Change to liters: 3280 /1000 = 3.28 liters
Find how many liters in the full tank: 2.6 + 3.28 = 5.88 liters
let b = the side of the base
30 * b^2 = 1000 * 5.88
b^2 = 5880/30
b^2 = 196
b =
b = 14 cm is the side of the 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.
let t = time required to drain a tank containig 5.88 liters
= 12 minutes
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