# High School Math : How to find the volume of a prism

## Example Questions

### Example Question #1 : How To Find The Volume Of A Prism

Find the volume of the following triangular prism.       Explanation:

The formula for the volume of a triangular prism is: Where is the length of the triangle, is the width of the triangle, and is the height of the prism

Plugging in our values, we get:  ### Example Question #2 : How To Find The Volume Of A Prism

Find the volume of the following triangular prism.       Explanation:

The formula for the volume of a triangular prism is:  Where is the length of the base, is the width of the base, and is the height of the prism

Plugging in our values, we get:  ### Example Question #3 : How To Find The Volume Of A Prism

Find the volume of the following triangular prism:       Explanation:

The formula for the volume of an equilateral, triangular prism is:  Where is the length of the triangle side and is the length of the height.

Plugging in our values, we get:  ### Example Question #4 : How To Find The Volume Of A Prism

What is the volume?      Explanation:

The volume is calculated using the equation:  ### Example Question #96 : Prisms

A rectangular box has two sides with the following lengths: and If it possesses a volume of , what is the area of its largest side?

49

28

21

12

16

28

Explanation:

The volume of a rectangular prism is found using the following formula: If we substitute our known values, then we can solve for the missing side.  Divide both sides of the equation by 12.  We now know that the missing length equals 7 centimeters.

This means that the box can have sides with the following dimensions: 3cm by 4cm; 7cm by 3cm; or 7cm by 4cm. The greatest area of one side belongs to the one that is 7cm by 4cm.    