Volume of a Triangular Prism
The volume of any prism can be found by multiplying the area of the base by the height
The volume of any prism can be found by multiplying the area of the base by the height. In the case of a triangular prism, the base is a triangle and the height is the distance between the parallel bases.
To find the volume of a triangular prism, follow these steps:
1. Measure or find the length of the base of the triangle, denoted as b.
2. Measure or find the height of the triangle, denoted as h.
3. Calculate the area of the base of the triangle by using the formula for the area of a triangle, which is (1/2) * base * height.
base * height = bh
area of the triangle = (1/2) * bh
4. Calculate the volume by multiplying the area of the base by the height of the prism.
volume = area of the base * height
volume = (1/2) * bh * height
So, the formula to find the volume of a triangular prism is:
Volume = (1/2) * base * height * height
Let’s consider an example to illustrate the calculation.
Example:
Suppose we have a triangular prism with a triangular base having a base length of 4 cm and a height of 5 cm. The height of the prism is 10 cm.
Using the formula, we can find the volume:
Volume = (1/2) * base * height * height
Volume = (1/2) * 4 cm * 5 cm * 10 cm
Volume = 100 cm³
Hence, the volume of the given triangular prism is 100 cm³.
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