Definition: Volume is the total amount of space inside a three dimensional shape. Volume is measured in cubic units, such as “cubic inches” or in³.
Each three dimensional figure has its own unique volume formula. For example, to find the volume of a rectangular prism, we can multiply the length, the width and the height of the prism together.
Example: Find the volume of figure:
Determine the appropriate volume formula for this figure and plug in the given values.
Step 1: Identify the figure.
As this figure has a square base and triangular faces, we know it is a square pyramid and can apply the following formula:
Volume = 1/3 * (area of base) * height
Step 2: Plug the given values into the formula.
This figure has a height of 9 cm, and edge lengths of 8 cm. Plugging this information into the formula we get:
Volume = 1/3 * 8² * 9
Step 3: Simplify to find the volume.
V = 1/3 * 8² * 9
V = 1/3 * 64 * 9
V = 1/3 * 576
V = 576 / 3 = 192
Because volume is always measured in cubic units, we will label this answer as:
V = 192 cubic cm or 192 cm³
Check out another example here.
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