To find the volume of a prism, you use the following general formula:

$\text{Volume} = \text{Base Area} \times \text{Height}$

Where:

• Base Area is the area of one of the two parallel faces (called the bases) of the prism.
• Height is the perpendicular distance between the two bases.

Steps to find the volume of a prism:

1. Determine the shape of the base: It can be a triangle, rectangle, or any polygon. The method to calculate the base area will depend on its shape.

2. Calculate the area of the base: Use the appropriate formula for the base's shape. For example:

   • If the base is a rectangle: $\text{Base Area} = \text{length} \times \text{width}$
   • If the base is a triangle: $\text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height}$

3. Find the height of the prism (the distance between the two parallel bases).

4. Multiply the base area by the height of the prism to get the volume.

Example:

For a rectangular prism with a base area of 15 square units and a height of 10 units: $\text{Volume} = 15 \times 10 = 150 \, \text{cubic units}$

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How do you calculate the base area for a triangular prism?
2. What is the difference between the volume of a prism and a cylinder?
3. How do you find the height of a prism if you know the volume and base area?
4. What happens to the volume if you double the height of a prism?
5. Can you calculate the volume of an irregular prism with a non-standard base?

Tip: Always ensure the base area and height are in the same units when calculating volume.