To find the volume of a triangular prism, you can use the following formula:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
Here's how you can solve for the volume step by step:
- Find the Area of the Triangular Base: The area of the triangular base can be calculated using the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height of the triangle} \]
- Where "base" is the length of the base of the triangle, and "height of the triangle" is the perpendicular height from the base to the opposite vertex.
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Measure the Height of the Prism: The height of the prism is the distance between the two triangular bases. This is the length of the prism.
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Calculate the Volume: Once you have the area of the triangular base and the height of the prism, you can calculate the volume using the first formula mentioned.
Example
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Suppose the triangular base has a base length of 4 cm and a height of 3 cm.
- Area of the triangular base = \( \frac{1}{2} \times 4 , \text{cm} \times 3 , \text{cm} = 6 , \text{cm}^2 \).
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If the height of the prism (the distance between the two triangular bases) is 10 cm,
- Volume = \( 6 , \text{cm}^2 \times 10 , \text{cm} = 60 , \text{cm}^3 \).
So, the volume of the prism is \( 60 , \text{cm}^3 \).