# In a straight triangular prism, the sides of the base are 13 14 15 and the height of the prism is 20.

June 28, 2021 | education

| **In a straight triangular prism, the sides of the base are 13 14 15 and the height of the prism is 20. Find the volume of the prism.**

To solve this problem, let us designate a straight triangular prism as ABCA1B1C1.

For the volume of the prism, we will use the formula V = S * H, where H is the height and it is equal to twenty, and S is the area of the base.

We find the area of the base through Heron’s formula, and is equal to 84.

We substitute the values into the formula and we get V = 84 * 20 = 1680.

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