What mass of water will fill a tank that is 100.0 cm long, 50.0 cm wide, and 30.0 cm high? Express the answer in grams.

Question

Physics

Izaiah Choi

10 May, 21:09

What mass of water will fill a tank that is 100.0 cm long, 50.0 cm wide, and 30.0 cm high? Express the answer in grams.

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Answers (2)

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Harold Mccullough · Answer 1

Since the density of water is 1g/cm^3, The mass of water needed to fill the tank is 150000 grams

Julia · Answer 2

The volume of the tank is (100cm x 50cm x 30cm) = 150,000 cm³.

If you're working with water, then water has just about 1 gram of mass in each 1 cm³. So when this tank is full, it would hold about 150,000 grams of mass in the form of water.

150,000 grams is the same as 150 kilograms.

If you filled the same tank with a different substance, then there would be more or less mass in it. Different substances have different amounts of mass in each cm³. The number of grams of mass in each cm³ of the substance is called the density of the substance. The density of water is very nearly ' 1 '. Substances with greater density feel heavier when you pick them up, because they have more mass in each unit of volume than other substances have.

For example, an 8-oz drinking glass holds about 237 grams of mass in the form of water when it's full, and that weighs about 8.3 ounces. The density of gold is about 19, so if you could fill up the same drinking glass with gold, it would hold about 4,520 grams of mass in the form of gold, and that would weigh about 10 pounds!