## Volume of Prism

### The volume of a prism is a measure of the amount of space enclosed by the prism

The volume of a prism is a measure of the amount of space enclosed by the prism. It can be thought of as the “capacity” of the prism.

To calculate the volume of a prism, you need to multiply the area of the base by the height of the prism. The base is the shape that forms the bottom of the prism, and the height is the distance between the base and the top of the prism.

The formula for calculating the volume of a prism is:

Volume = base area x height

Here are the steps to follow when calculating the volume of a prism:

1. Determine the shape of the base: Prisms can have various base shapes such as a rectangle, triangle, square, pentagon, or hexagon. This will affect the method used to find the area of the base.

2. Find the area of the base: If the base is a rectangle, multiply the length and width of the rectangle. For a triangle, multiply the base length by the height and divide the result by 2. If the base is another polygon, you may need to use a specific formula to find its area.

3. Measure the height of the prism: This is the vertical distance between the base and the top of the prism. Make sure the height is perpendicular to the base.

4. Multiply the base area by the height: Take the area of the base obtained in step 2 and multiply it by the height from step 3.

5. Express the volume in cubic units: Since volume is a measure of three-dimensional space, the final result should be in cubic units. For example, if the base area is in square inches and the height is in inches, the volume will be in cubic inches.

Remember to always use the correct units for both the base area and the height when calculating the volume.

Example:

Let’s find the volume of a rectangular prism with a length of 5 inches, width of 3 inches, and height of 7 inches.

1. Shape of the base: The base is a rectangle.

2. Area of the base: Multiply the length (5 inches) by the width (3 inches) to get the base area of 15 square inches.

3. Height of the prism: The height is 7 inches.

4. Volume: Multiply the base area of 15 square inches by the height of 7 inches to get a volume of 105 cubic inches.

5. Final answer: The volume of the rectangular prism is 105 cubic inches.

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