_ N_ Volume

Volume is the amount of space an object occupies.

The volume of an object can be calculated using mathematical equations. The volume of a cube can be found using the formula V=(side)x(side)x(side) or 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

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.

The cube shown above is lowered 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.

inches

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?

### 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