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

univerkov | 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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