What is the volume of a right triangular prism?

To find the volume of a right triangular prism, you can use the following formula:

Volume = Base Area × Height

1. **Calculate the Base Area**: Since the base of the prism is a right triangle, you need to determine the area of the triangle first. The area of a triangle can be calculated using the formula:

Area = (1/2) × base × height

Make sure to use the dimensions of the triangle to calculate its area accurately. For example, if the base of the triangle is 5 units and the height is 3 units, the area would be:

Area = (1/2) × 5 × 3 = 7.5 square units

2. **Measure the Height of the Prism**: Next, determine the height of the prism, which is the distance between the two bases of the prism. Let’s say this height is 10 units.

3. **Calculate the Volume**: Now, substitute these values into the volume formula:

The volume would be:

Volume = 7.5 (base area) × 10 (height) = 75 cubic units

4. **Final Result**: Therefore, the volume of the right triangular prism is 75 cubic units. This method can be applied to any right triangular prism as long as you have the measurements for the base and height.

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