SOLUTION: The volume of a liter is the same as that of a cube of side length 10 centimeters. A liter of water weighs 1 kilogram. A cubic centimeter of sand weighs 2 grams. How many liters

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Question 307128: The volume of a liter is the same as that of a cube of side length 10 centimeters.
A liter of water weighs 1 kilogram. A cubic centimeter of sand weighs 2 grams.
How many liters of water weigh the same as a cube of sand with side length 1/2 meter ?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The volume of a liter is the same as that of a cube of side length 10 centimeters.
A liter of water weighs 1 kilogram. A cubic centimeter of sand weighs 2 grams.
How many liters of water weigh the same as a cube of sand with side length 1/2 meter ?
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1 liter = 1000 milliliters (ml) = 1000 cubic centimeters (cc)
The density of water is 1 gm/cc
The density of sand is given as 2 gm/cc
------------------------
A cube with sides of 0.5 meters have a volume of
50 cm * 50 cm * 50 cm = 125000 cc
That much sand weighs 125000 cc * 2 gm/cc = 250000 grams = 250 kg
250 liters of water weighs 250 kg
--> 250 liters

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