Triangular Prism Calculator   Input the 3 triangle sides and the height:

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If you need the area in greater detail, please use this information:

 A triangular prism is a geometric solid having 2 identical, parallel, triangular bases which are perpindicular to the 3 rectangular faces. In the above graphic, the green triangle is one of the bases and the red and blue planes are 2 of the 3 faces. The triangles can be any type of triangle (acute, right or obtuse). This calculator computes a triangular prism's area and volume when the triangle sides and prism height have been input. It's great to have a calculator for calculating triangular prisms, but let's see the mathematics of this.

 A triangular prism has sides of 5, 6 and 7 with a height of 9. What is the area and volume of this prism? The first thing to do is to calculate the area of the triangular base. Since we know all 3 triangle sides, we will us Heron's Formula. Semi-Perimeter = (5 + 6 + 7) ÷ 2 Semi-Perimeter = 18 ÷ 2 Semi-Perimeter = 9 Triangle Area = square root [9 * (9-5) * (9-6) * (9-7)] Triangle Area = square root [9 * 4 * 3 * 2] Triangle Area = square root (216) Triangle Area = 14.6969384567 Since a triangular prism has two triangles, the area of both triangles equals 2 * 14.6969384567 = 29.3938769134
 Now to calculate the area of the 3 rectangular faces: Rectangular face area = 9 * (5 + 6 + 7) Rectangular face area = 162 For the total prism area we add up both areas: Total Area = 29.3938769134 + 162 Total Area = 191.3938769134 Since we already calculated the triangle area, the volume is easily calculated by: Volume = triangle area * height Volume = 14.6969384567 * 9 Volume = 132.2724461103

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