### All High School Math Resources

## Example Questions

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

Find the volume of the following triangular prism.

**Possible Answers:**

**Correct answer:**

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.

**Possible Answers:**

**Correct answer:**

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:

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

The volume is calculated using the equation:

### Example Question #5 : How To Find The Volume Of A Prism

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?

**Possible Answers:**

49

21

12

16

28

**Correct answer:**

28

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.