SOLUTION: A rectangular water tank of length 60 cm and width 40cm contains water up to a depth of 30 cm. A piece of ice measuring 20 cm by 15 cm by 12 cm is dropped into the tank of water. C

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Question 424937: A rectangular water tank of length 60 cm and width 40cm contains water up to a depth of 30 cm. A piece of ice measuring 20 cm by 15 cm by 12 cm is dropped into the tank of water. Calculate the new depth of water when ice melts completely, assuming its volume decreases by 1/10.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A rectangular water tank of length 60 cm and width 40cm contains water up to a depth of 30 cm.
A piece of ice measuring 20 cm by 15 cm by 12 cm is dropped into the tank of water.
Calculate the new depth of water when ice melts completely, assuming its volume decreases by 1/10.
:
Find the volume of water before the ice is added:
60 * 40 * 30 = 72000 cu cm
:
Find the volume of the water from the ice
.9 * 20 * 15 * 12 = 3240 cu/cm
:
Find the volume when the ice melts
72000 + 3240 = 75240 cu/cm
:
Find the new water depth (d)
d = 75240%2F%2860%2A40%29
d = 31.35 cm deep now
:
:
Check that by finding the vol of the added water. (water rose 1.35 cm)
1.35 * 60 * 40 = 3240 the vol of the melted ice