 EDUCATIONAL CHALLENGES
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VOLUME Volume is the amount of space an object occupies.

The volume of an object can be calculated geometrically using mathematical equations or by measuring liquid displacement.

In the experiment below you will measure the volume of a cube using the formula V=(side)x(side)x(side) and by using a graduated cylinder to measure liquid displacement.

Case I. Finding volume geometrically.

What is the volume of the metal cube shown here (to the nearest tenth of a cm? cubic cm.

Having trouble? Try this hint.

### Note:

The side of the cube is approximately 3.1 centimeters. How many inches does this convert to (use 2.54 cm. = 1 inch)? A calculator is available to the right.

inches
##### Need help use the length converter

Case II. Measuring Volume using a graduated cylinder.

It is also possible to find the volume of an object by measuring the volume of water that it displaces. What will happen when we lower the above metal block slowly into a graduated cylinder containing water?

What was the amount of water displaced by the object? Before After

Please enter your answer in the space provided. If you need a calculator one is available. to the right.

cubic cm.

Notice that both methods give fairly accurate values for the volume of the cube. Why are the volumes not exactly the same for the two methods used? What are some factors that will determine the accuracy of your measurements?

### How does the volume of a cube vary with the area of one of its surfaces? With the length of one side of the cube?

Type in any value for length and then click on one of the other boxes.

• Length of Side : units
• Area of One Surface: square units
• Volume of Cube: cubic units

• ### Please continue to the next chapter!

Please continue to the next chapter on density  Need a Calculator Click for Calculator. A pop-up window will open with a calculator. Make sure all pop-up windows are closed or visible.
 Length Converter Click for Converter to convert length between units. Make sure all pop-up windows are closed or visible.