Volume of Triangular Prism Calculator

Calculate Volume









Formula

The formula to calculate the Volume of a Triangular Prism is:

\[ V = \frac{1}{4}h\sqrt{(S_a + S_b + S_c)(S_b + S_c - S_a)(S_a + S_c - S_b)(S_a + S_b - S_c)} \]

Definition

The Volume of a Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the prism. The Height is the length of the straight line connecting any base vertex to the corresponding top vertex of the prism. The Side A, Side B, and Side C are the lengths of the three base edges of the prism.

Example Calculation

Let's assume the following values:

Using the formula:

\[ V = \frac{1}{4} \times 25 \times \sqrt{(10 + 14 + 20)(14 + 20 - 10)(10 + 20 - 14)(10 + 14 - 20)} = 1624.80768092719 \]

The Volume is 1624.80768092719 Cubic Meters.

Conversion Chart

Height (Meters) Side A (Meters) Side B (Meters) Side C (Meters) Volume (Cubic Meters)
24 10 14 20 1,559.815373690104479
25 10 14 20 1,624.807680927192223
26 10 14 20 1,689.799988164279966